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Finding the Fourth Proportional to 707.47, 1,060.11 and 296.38

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Solution

The fourth proportional to 707.47, 1,060.11 and 296.38 is: 444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.47 : 1,060.11 = 296.38 : x
  2. Step 2: Convert to fraction form
    707.47/1,060.11 = 296.38/x
  3. Step 3: Cross multiply
    707.47x = 1,060.11 × 296.38
  4. Step 4: Simplify right side
    707.47x = 314,193.86
  5. Step 5: Solve for x
    x = 314,193.86/707.47
  6. Step 6: Final answer
    x = 444.11

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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.