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Finding the Fourth Proportional to 957.60, 1,432.77 and 567.81

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Solution

The fourth proportional to 957.60, 1,432.77 and 567.81 is: 849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.60 : 1,432.77 = 567.81 : x
  2. Step 2: Convert to fraction form
    957.60/1,432.77 = 567.81/x
  3. Step 3: Cross multiply
    957.60x = 1,432.77 × 567.81
  4. Step 4: Simplify right side
    957.60x = 813,541.13
  5. Step 5: Solve for x
    x = 813,541.13/957.60
  6. Step 6: Final answer
    x = 849.56

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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.