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Finding the Fourth Proportional to 1,507.77, 2,262.12 and 686.70

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Solution

The fourth proportional to 1,507.77, 2,262.12 and 686.70 is: 1,030.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.77 : 2,262.12 = 686.70 : x
  2. Step 2: Convert to fraction form
    1,507.77/2,262.12 = 686.70/x
  3. Step 3: Cross multiply
    1,507.77x = 2,262.12 × 686.70
  4. Step 4: Simplify right side
    1,507.77x = 1,553,397.80
  5. Step 5: Solve for x
    x = 1,553,397.80/1,507.77
  6. Step 6: Final answer
    x = 1,030.26

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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.