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Finding the Fourth Proportional to 870.23, 1,306.13 and 408.27

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Solution

The fourth proportional to 870.23, 1,306.13 and 408.27 is: 612.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.23 : 1,306.13 = 408.27 : x
  2. Step 2: Convert to fraction form
    870.23/1,306.13 = 408.27/x
  3. Step 3: Cross multiply
    870.23x = 1,306.13 × 408.27
  4. Step 4: Simplify right side
    870.23x = 533,251.65
  5. Step 5: Solve for x
    x = 533,251.65/870.23
  6. Step 6: Final answer
    x = 612.77

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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.