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Finding the Fourth Proportional to 1,132.74, 1,698.78 and 402.18

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Solution

The fourth proportional to 1,132.74, 1,698.78 and 402.18 is: 603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.74 : 1,698.78 = 402.18 : x
  2. Step 2: Convert to fraction form
    1,132.74/1,698.78 = 402.18/x
  3. Step 3: Cross multiply
    1,132.74x = 1,698.78 × 402.18
  4. Step 4: Simplify right side
    1,132.74x = 683,215.34
  5. Step 5: Solve for x
    x = 683,215.34/1,132.74
  6. Step 6: Final answer
    x = 603.15

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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.