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Finding the Fourth Proportional to 1,147.47, 1,721.47 and 591.96

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Solution

The fourth proportional to 1,147.47, 1,721.47 and 591.96 is: 888.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.47 : 1,721.47 = 591.96 : x
  2. Step 2: Convert to fraction form
    1,147.47/1,721.47 = 591.96/x
  3. Step 3: Cross multiply
    1,147.47x = 1,721.47 × 591.96
  4. Step 4: Simplify right side
    1,147.47x = 1,019,041.38
  5. Step 5: Solve for x
    x = 1,019,041.38/1,147.47
  6. Step 6: Final answer
    x = 888.08

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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.