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Finding the Fourth Proportional to 1,553.03, 2,329.56 and 457.42

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Solution

The fourth proportional to 1,553.03, 2,329.56 and 457.42 is: 686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.03 : 2,329.56 = 457.42 : x
  2. Step 2: Convert to fraction form
    1,553.03/2,329.56 = 457.42/x
  3. Step 3: Cross multiply
    1,553.03x = 2,329.56 × 457.42
  4. Step 4: Simplify right side
    1,553.03x = 1,065,587.34
  5. Step 5: Solve for x
    x = 1,065,587.34/1,553.03
  6. Step 6: Final answer
    x = 686.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.