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Finding the Fourth Proportional to 1,689.13, 2,533.47 and 456.64

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Solution

The fourth proportional to 1,689.13, 2,533.47 and 456.64 is: 684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.13 : 2,533.47 = 456.64 : x
  2. Step 2: Convert to fraction form
    1,689.13/2,533.47 = 456.64/x
  3. Step 3: Cross multiply
    1,689.13x = 2,533.47 × 456.64
  4. Step 4: Simplify right side
    1,689.13x = 1,156,883.74
  5. Step 5: Solve for x
    x = 1,156,883.74/1,689.13
  6. Step 6: Final answer
    x = 684.90

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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.