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Finding the Fourth Proportional to 772.52, 1,065.17 and 524.00

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Solution

The fourth proportional to 772.52, 1,065.17 and 524.00 is: 722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.52 : 1,065.17 = 524.00 : x
  2. Step 2: Convert to fraction form
    772.52/1,065.17 = 524.00/x
  3. Step 3: Cross multiply
    772.52x = 1,065.17 × 524.00
  4. Step 4: Simplify right side
    772.52x = 558,143.75
  5. Step 5: Solve for x
    x = 558,143.75/772.52
  6. Step 6: Final answer
    x = 722.50

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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.