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Finding the Fourth Proportional to 906.65, 1,359.97 and 473.70

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Solution

The fourth proportional to 906.65, 1,359.97 and 473.70 is: 710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.65 : 1,359.97 = 473.70 : x
  2. Step 2: Convert to fraction form
    906.65/1,359.97 = 473.70/x
  3. Step 3: Cross multiply
    906.65x = 1,359.97 × 473.70
  4. Step 4: Simplify right side
    906.65x = 644,217.79
  5. Step 5: Solve for x
    x = 644,217.79/906.65
  6. Step 6: Final answer
    x = 710.55

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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.