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Finding the Fourth Proportional to 1,132.47, 1,698.48 and 401.96

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Solution

The fourth proportional to 1,132.47, 1,698.48 and 401.96 is: 602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.47 : 1,698.48 = 401.96 : x
  2. Step 2: Convert to fraction form
    1,132.47/1,698.48 = 401.96/x
  3. Step 3: Cross multiply
    1,132.47x = 1,698.48 × 401.96
  4. Step 4: Simplify right side
    1,132.47x = 682,712.53
  5. Step 5: Solve for x
    x = 682,712.53/1,132.47
  6. Step 6: Final answer
    x = 602.85

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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.