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Finding the Fourth Proportional to 961.47, 1,442.51 and 730.62

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Solution

The fourth proportional to 961.47, 1,442.51 and 730.62 is: 1,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.47 : 1,442.51 = 730.62 : x
  2. Step 2: Convert to fraction form
    961.47/1,442.51 = 730.62/x
  3. Step 3: Cross multiply
    961.47x = 1,442.51 × 730.62
  4. Step 4: Simplify right side
    961.47x = 1,053,925.74
  5. Step 5: Solve for x
    x = 1,053,925.74/961.47
  6. Step 6: Final answer
    x = 1,096.16

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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.