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Finding the Fourth Proportional to 689.13, 1,033.89 and 470.70

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Solution

The fourth proportional to 689.13, 1,033.89 and 470.70 is: 706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.13 : 1,033.89 = 470.70 : x
  2. Step 2: Convert to fraction form
    689.13/1,033.89 = 470.70/x
  3. Step 3: Cross multiply
    689.13x = 1,033.89 × 470.70
  4. Step 4: Simplify right side
    689.13x = 486,652.02
  5. Step 5: Solve for x
    x = 486,652.02/689.13
  6. Step 6: Final answer
    x = 706.18

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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.