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Finding the Fourth Proportional to 1,043.24, 1,439.66 and 571.15

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Solution

The fourth proportional to 1,043.24, 1,439.66 and 571.15 is: 788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.24 : 1,439.66 = 571.15 : x
  2. Step 2: Convert to fraction form
    1,043.24/1,439.66 = 571.15/x
  3. Step 3: Cross multiply
    1,043.24x = 1,439.66 × 571.15
  4. Step 4: Simplify right side
    1,043.24x = 822,254.61
  5. Step 5: Solve for x
    x = 822,254.61/1,043.24
  6. Step 6: Final answer
    x = 788.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.