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Finding the Fourth Proportional to 1,060.94, 1,464.12 and 588.80

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Solution

The fourth proportional to 1,060.94, 1,464.12 and 588.80 is: 812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.94 : 1,464.12 = 588.80 : x
  2. Step 2: Convert to fraction form
    1,060.94/1,464.12 = 588.80/x
  3. Step 3: Cross multiply
    1,060.94x = 1,464.12 × 588.80
  4. Step 4: Simplify right side
    1,060.94x = 862,073.86
  5. Step 5: Solve for x
    x = 862,073.86/1,060.94
  6. Step 6: Final answer
    x = 812.56

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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.