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Finding the Fourth Proportional to 1,053.28, 1,577.80 and 532.56

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Solution

The fourth proportional to 1,053.28, 1,577.80 and 532.56 is: 797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.28 : 1,577.80 = 532.56 : x
  2. Step 2: Convert to fraction form
    1,053.28/1,577.80 = 532.56/x
  3. Step 3: Cross multiply
    1,053.28x = 1,577.80 × 532.56
  4. Step 4: Simplify right side
    1,053.28x = 840,273.17
  5. Step 5: Solve for x
    x = 840,273.17/1,053.28
  6. Step 6: Final answer
    x = 797.77

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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.