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Finding the Fourth Proportional to 1,060.84, 1,463.97 and 588.74

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Solution

The fourth proportional to 1,060.84, 1,463.97 and 588.74 is: 812.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.84 : 1,463.97 = 588.74 : x
  2. Step 2: Convert to fraction form
    1,060.84/1,463.97 = 588.74/x
  3. Step 3: Cross multiply
    1,060.84x = 1,463.97 × 588.74
  4. Step 4: Simplify right side
    1,060.84x = 861,894.75
  5. Step 5: Solve for x
    x = 861,894.75/1,060.84
  6. Step 6: Final answer
    x = 812.47

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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.