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Finding the Fourth Proportional to 1,686.13, 2,528.91 and 515.86

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Solution

The fourth proportional to 1,686.13, 2,528.91 and 515.86 is: 773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.13 : 2,528.91 = 515.86 : x
  2. Step 2: Convert to fraction form
    1,686.13/2,528.91 = 515.86/x
  3. Step 3: Cross multiply
    1,686.13x = 2,528.91 × 515.86
  4. Step 4: Simplify right side
    1,686.13x = 1,304,557.19
  5. Step 5: Solve for x
    x = 1,304,557.19/1,686.13
  6. Step 6: Final answer
    x = 773.70

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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.