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Finding the Fourth Proportional to 870.66, 1,306.35 and 486.18

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Solution

The fourth proportional to 870.66, 1,306.35 and 486.18 is: 729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.66 : 1,306.35 = 486.18 : x
  2. Step 2: Convert to fraction form
    870.66/1,306.35 = 486.18/x
  3. Step 3: Cross multiply
    870.66x = 1,306.35 × 486.18
  4. Step 4: Simplify right side
    870.66x = 635,121.24
  5. Step 5: Solve for x
    x = 635,121.24/870.66
  6. Step 6: Final answer
    x = 729.47

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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.