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Finding the Fourth Proportional to 697.04, 1,037.59 and 686.65

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Solution

The fourth proportional to 697.04, 1,037.59 and 686.65 is: 1,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.04 : 1,037.59 = 686.65 : x
  2. Step 2: Convert to fraction form
    697.04/1,037.59 = 686.65/x
  3. Step 3: Cross multiply
    697.04x = 1,037.59 × 686.65
  4. Step 4: Simplify right side
    697.04x = 712,461.17
  5. Step 5: Solve for x
    x = 712,461.17/697.04
  6. Step 6: Final answer
    x = 1,022.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.