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Finding the Fourth Proportional to 982.90, 1,475.22 and 463.18

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Solution

The fourth proportional to 982.90, 1,475.22 and 463.18 is: 695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.90 : 1,475.22 = 463.18 : x
  2. Step 2: Convert to fraction form
    982.90/1,475.22 = 463.18/x
  3. Step 3: Cross multiply
    982.90x = 1,475.22 × 463.18
  4. Step 4: Simplify right side
    982.90x = 683,292.40
  5. Step 5: Solve for x
    x = 683,292.40/982.90
  6. Step 6: Final answer
    x = 695.18

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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.