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Finding the Fourth Proportional to 1,086.96, 1,630.54 and 470.68

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Solution

The fourth proportional to 1,086.96, 1,630.54 and 470.68 is: 706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.96 : 1,630.54 = 470.68 : x
  2. Step 2: Convert to fraction form
    1,086.96/1,630.54 = 470.68/x
  3. Step 3: Cross multiply
    1,086.96x = 1,630.54 × 470.68
  4. Step 4: Simplify right side
    1,086.96x = 767,462.57
  5. Step 5: Solve for x
    x = 767,462.57/1,086.96
  6. Step 6: Final answer
    x = 706.06

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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.