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Finding the Fourth Proportional to 1,132.01, 1,698.25 and 401.57

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Solution

The fourth proportional to 1,132.01, 1,698.25 and 401.57 is: 602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.01 : 1,698.25 = 401.57 : x
  2. Step 2: Convert to fraction form
    1,132.01/1,698.25 = 401.57/x
  3. Step 3: Cross multiply
    1,132.01x = 1,698.25 × 401.57
  4. Step 4: Simplify right side
    1,132.01x = 681,966.25
  5. Step 5: Solve for x
    x = 681,966.25/1,132.01
  6. Step 6: Final answer
    x = 602.44

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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.