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Finding the Fourth Proportional to 870.78, 1,306.18 and 408.43

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Solution

The fourth proportional to 870.78, 1,306.18 and 408.43 is: 612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.78 : 1,306.18 = 408.43 : x
  2. Step 2: Convert to fraction form
    870.78/1,306.18 = 408.43/x
  3. Step 3: Cross multiply
    870.78x = 1,306.18 × 408.43
  4. Step 4: Simplify right side
    870.78x = 533,483.10
  5. Step 5: Solve for x
    x = 533,483.10/870.78
  6. Step 6: Final answer
    x = 612.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.