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Finding the Fourth Proportional to 766.31, 1,056.95 and 500.25

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Solution

The fourth proportional to 766.31, 1,056.95 and 500.25 is: 689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.31 : 1,056.95 = 500.25 : x
  2. Step 2: Convert to fraction form
    766.31/1,056.95 = 500.25/x
  3. Step 3: Cross multiply
    766.31x = 1,056.95 × 500.25
  4. Step 4: Simplify right side
    766.31x = 528,736.74
  5. Step 5: Solve for x
    x = 528,736.74/766.31
  6. Step 6: Final answer
    x = 689.98

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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.