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Finding the Fourth Proportional to 1,553.11, 2,329.77 and 457.39

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Solution

The fourth proportional to 1,553.11, 2,329.77 and 457.39 is: 686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.11 : 2,329.77 = 457.39 : x
  2. Step 2: Convert to fraction form
    1,553.11/2,329.77 = 457.39/x
  3. Step 3: Cross multiply
    1,553.11x = 2,329.77 × 457.39
  4. Step 4: Simplify right side
    1,553.11x = 1,065,613.50
  5. Step 5: Solve for x
    x = 1,065,613.50/1,553.11
  6. Step 6: Final answer
    x = 686.12

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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.