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Finding the Fourth Proportional to 690.49, 1,037.12 and 417.13

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Solution

The fourth proportional to 690.49, 1,037.12 and 417.13 is: 626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.49 : 1,037.12 = 417.13 : x
  2. Step 2: Convert to fraction form
    690.49/1,037.12 = 417.13/x
  3. Step 3: Cross multiply
    690.49x = 1,037.12 × 417.13
  4. Step 4: Simplify right side
    690.49x = 432,613.87
  5. Step 5: Solve for x
    x = 432,613.87/690.49
  6. Step 6: Final answer
    x = 626.53

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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.