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Finding the Fourth Proportional to 870.85, 1,306.56 and 524.41

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Solution

The fourth proportional to 870.85, 1,306.56 and 524.41 is: 786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.85 : 1,306.56 = 524.41 : x
  2. Step 2: Convert to fraction form
    870.85/1,306.56 = 524.41/x
  3. Step 3: Cross multiply
    870.85x = 1,306.56 × 524.41
  4. Step 4: Simplify right side
    870.85x = 685,171.83
  5. Step 5: Solve for x
    x = 685,171.83/870.85
  6. Step 6: Final answer
    x = 786.78

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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.