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Finding the Fourth Proportional to 772.53, 1,064.50 and 654.13

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Solution

The fourth proportional to 772.53, 1,064.50 and 654.13 is: 901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.53 : 1,064.50 = 654.13 : x
  2. Step 2: Convert to fraction form
    772.53/1,064.50 = 654.13/x
  3. Step 3: Cross multiply
    772.53x = 1,064.50 × 654.13
  4. Step 4: Simplify right side
    772.53x = 696,321.39
  5. Step 5: Solve for x
    x = 696,321.39/772.53
  6. Step 6: Final answer
    x = 901.35

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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.