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Finding the Fourth Proportional to 986.18, 1,478.66 and 723.74

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Solution

The fourth proportional to 986.18, 1,478.66 and 723.74 is: 1,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.18 : 1,478.66 = 723.74 : x
  2. Step 2: Convert to fraction form
    986.18/1,478.66 = 723.74/x
  3. Step 3: Cross multiply
    986.18x = 1,478.66 × 723.74
  4. Step 4: Simplify right side
    986.18x = 1,070,154.38
  5. Step 5: Solve for x
    x = 1,070,154.38/986.18
  6. Step 6: Final answer
    x = 1,085.16

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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.