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Finding the Fourth Proportional to 942.75, 1,300.14 and 588.71

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Solution

The fourth proportional to 942.75, 1,300.14 and 588.71 is: 811.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.75 : 1,300.14 = 588.71 : x
  2. Step 2: Convert to fraction form
    942.75/1,300.14 = 588.71/x
  3. Step 3: Cross multiply
    942.75x = 1,300.14 × 588.71
  4. Step 4: Simplify right side
    942.75x = 765,401.18
  5. Step 5: Solve for x
    x = 765,401.18/942.75
  6. Step 6: Final answer
    x = 811.88

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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.