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Finding the Fourth Proportional to 1,060.58, 1,463.59 and 588.46

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Solution

The fourth proportional to 1,060.58, 1,463.59 and 588.46 is: 812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.58 : 1,463.59 = 588.46 : x
  2. Step 2: Convert to fraction form
    1,060.58/1,463.59 = 588.46/x
  3. Step 3: Cross multiply
    1,060.58x = 1,463.59 × 588.46
  4. Step 4: Simplify right side
    1,060.58x = 861,259.04
  5. Step 5: Solve for x
    x = 861,259.04/1,060.58
  6. Step 6: Final answer
    x = 812.07

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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.