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Finding the Fourth Proportional to 983.76, 1,475.80 and 470.76

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Solution

The fourth proportional to 983.76, 1,475.80 and 470.76 is: 706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.76 : 1,475.80 = 470.76 : x
  2. Step 2: Convert to fraction form
    983.76/1,475.80 = 470.76/x
  3. Step 3: Cross multiply
    983.76x = 1,475.80 × 470.76
  4. Step 4: Simplify right side
    983.76x = 694,747.61
  5. Step 5: Solve for x
    x = 694,747.61/983.76
  6. Step 6: Final answer
    x = 706.22

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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.