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Finding the Fourth Proportional to 1,060.84, 1,464.04 and 588.78

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Solution

The fourth proportional to 1,060.84, 1,464.04 and 588.78 is: 812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.84 : 1,464.04 = 588.78 : x
  2. Step 2: Convert to fraction form
    1,060.84/1,464.04 = 588.78/x
  3. Step 3: Cross multiply
    1,060.84x = 1,464.04 × 588.78
  4. Step 4: Simplify right side
    1,060.84x = 861,997.47
  5. Step 5: Solve for x
    x = 861,997.47/1,060.84
  6. Step 6: Final answer
    x = 812.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.