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Finding the Fourth Proportional to 721.00, 1,080.56 and 524.00

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Solution

The fourth proportional to 721.00, 1,080.56 and 524.00 is: 785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.00 : 1,080.56 = 524.00 : x
  2. Step 2: Convert to fraction form
    721.00/1,080.56 = 524.00/x
  3. Step 3: Cross multiply
    721.00x = 1,080.56 × 524.00
  4. Step 4: Simplify right side
    721.00x = 566,205.42
  5. Step 5: Solve for x
    x = 566,205.42/721.00
  6. Step 6: Final answer
    x = 785.31

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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.