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Finding the Fourth Proportional to 1,024.69, 1,538.11 and 477.40

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Solution

The fourth proportional to 1,024.69, 1,538.11 and 477.40 is: 716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.69 : 1,538.11 = 477.40 : x
  2. Step 2: Convert to fraction form
    1,024.69/1,538.11 = 477.40/x
  3. Step 3: Cross multiply
    1,024.69x = 1,538.11 × 477.40
  4. Step 4: Simplify right side
    1,024.69x = 734,286.02
  5. Step 5: Solve for x
    x = 734,286.02/1,024.69
  6. Step 6: Final answer
    x = 716.60

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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.