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Finding the Fourth Proportional to 1,347.13, 2,019.24 and 566.93

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Solution

The fourth proportional to 1,347.13, 2,019.24 and 566.93 is: 849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.13 : 2,019.24 = 566.93 : x
  2. Step 2: Convert to fraction form
    1,347.13/2,019.24 = 566.93/x
  3. Step 3: Cross multiply
    1,347.13x = 2,019.24 × 566.93
  4. Step 4: Simplify right side
    1,347.13x = 1,144,767.73
  5. Step 5: Solve for x
    x = 1,144,767.73/1,347.13
  6. Step 6: Final answer
    x = 849.78

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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.