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Finding the Fourth Proportional to 1,292.64, 1,938.96 and 470.90

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Solution

The fourth proportional to 1,292.64, 1,938.96 and 470.90 is: 706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.64 : 1,938.96 = 470.90 : x
  2. Step 2: Convert to fraction form
    1,292.64/1,938.96 = 470.90/x
  3. Step 3: Cross multiply
    1,292.64x = 1,938.96 × 470.90
  4. Step 4: Simplify right side
    1,292.64x = 913,046.57
  5. Step 5: Solve for x
    x = 913,046.57/1,292.64
  6. Step 6: Final answer
    x = 706.34

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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.