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Finding the Fourth Proportional to 870.67, 1,306.37 and 524.22

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Solution

The fourth proportional to 870.67, 1,306.37 and 524.22 is: 786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.67 : 1,306.37 = 524.22 : x
  2. Step 2: Convert to fraction form
    870.67/1,306.37 = 524.22/x
  3. Step 3: Cross multiply
    870.67x = 1,306.37 × 524.22
  4. Step 4: Simplify right side
    870.67x = 684,825.28
  5. Step 5: Solve for x
    x = 684,825.28/870.67
  6. Step 6: Final answer
    x = 786.55

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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.