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Finding the Fourth Proportional to 1,689.71, 2,534.54 and 457.24

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Solution

The fourth proportional to 1,689.71, 2,534.54 and 457.24 is: 685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.71 : 2,534.54 = 457.24 : x
  2. Step 2: Convert to fraction form
    1,689.71/2,534.54 = 457.24/x
  3. Step 3: Cross multiply
    1,689.71x = 2,534.54 × 457.24
  4. Step 4: Simplify right side
    1,689.71x = 1,158,887.88
  5. Step 5: Solve for x
    x = 1,158,887.88/1,689.71
  6. Step 6: Final answer
    x = 685.85

Related Problems

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Double scale
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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.