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Finding the Fourth Proportional to 1,292.30, 1,938.62 and 470.42

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Solution

The fourth proportional to 1,292.30, 1,938.62 and 470.42 is: 705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.30 : 1,938.62 = 470.42 : x
  2. Step 2: Convert to fraction form
    1,292.30/1,938.62 = 470.42/x
  3. Step 3: Cross multiply
    1,292.30x = 1,938.62 × 470.42
  4. Step 4: Simplify right side
    1,292.30x = 911,957.10
  5. Step 5: Solve for x
    x = 911,957.10/1,292.30
  6. Step 6: Final answer
    x = 705.69

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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.