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Finding the Fourth Proportional to 1,512.92, 2,269.04 and 588.16

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Solution

The fourth proportional to 1,512.92, 2,269.04 and 588.16 is: 882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.92 : 2,269.04 = 588.16 : x
  2. Step 2: Convert to fraction form
    1,512.92/2,269.04 = 588.16/x
  3. Step 3: Cross multiply
    1,512.92x = 2,269.04 × 588.16
  4. Step 4: Simplify right side
    1,512.92x = 1,334,558.57
  5. Step 5: Solve for x
    x = 1,334,558.57/1,512.92
  6. Step 6: Final answer
    x = 882.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.