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Finding the Fourth Proportional to 1,689.96, 2,534.94 and 457.46

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Solution

The fourth proportional to 1,689.96, 2,534.94 and 457.46 is: 686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.96 : 2,534.94 = 457.46 : x
  2. Step 2: Convert to fraction form
    1,689.96/2,534.94 = 457.46/x
  3. Step 3: Cross multiply
    1,689.96x = 2,534.94 × 457.46
  4. Step 4: Simplify right side
    1,689.96x = 1,159,633.65
  5. Step 5: Solve for x
    x = 1,159,633.65/1,689.96
  6. Step 6: Final answer
    x = 686.19

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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.