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Finding the Fourth Proportional to 1,292.33, 1,937.63 and 470.50

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Solution

The fourth proportional to 1,292.33, 1,937.63 and 470.50 is: 705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.33 : 1,937.63 = 470.50 : x
  2. Step 2: Convert to fraction form
    1,292.33/1,937.63 = 470.50/x
  3. Step 3: Cross multiply
    1,292.33x = 1,937.63 × 470.50
  4. Step 4: Simplify right side
    1,292.33x = 911,654.92
  5. Step 5: Solve for x
    x = 911,654.92/1,292.33
  6. Step 6: Final answer
    x = 705.44

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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.