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Finding the Fourth Proportional to 1,164.47, 1,747.08 and 434.15

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Solution

The fourth proportional to 1,164.47, 1,747.08 and 434.15 is: 651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.47 : 1,747.08 = 434.15 : x
  2. Step 2: Convert to fraction form
    1,164.47/1,747.08 = 434.15/x
  3. Step 3: Cross multiply
    1,164.47x = 1,747.08 × 434.15
  4. Step 4: Simplify right side
    1,164.47x = 758,494.78
  5. Step 5: Solve for x
    x = 758,494.78/1,164.47
  6. Step 6: Final answer
    x = 651.36

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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.