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Finding the Fourth Proportional to 982.62, 1,471.14 and 740.16

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Solution

The fourth proportional to 982.62, 1,471.14 and 740.16 is: 1,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.62 : 1,471.14 = 740.16 : x
  2. Step 2: Convert to fraction form
    982.62/1,471.14 = 740.16/x
  3. Step 3: Cross multiply
    982.62x = 1,471.14 × 740.16
  4. Step 4: Simplify right side
    982.62x = 1,088,878.98
  5. Step 5: Solve for x
    x = 1,088,878.98/982.62
  6. Step 6: Final answer
    x = 1,108.14

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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.