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Finding the Fourth Proportional to 1,132.32, 1,698.34 and 401.92

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Solution

The fourth proportional to 1,132.32, 1,698.34 and 401.92 is: 602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.32 : 1,698.34 = 401.92 : x
  2. Step 2: Convert to fraction form
    1,132.32/1,698.34 = 401.92/x
  3. Step 3: Cross multiply
    1,132.32x = 1,698.34 × 401.92
  4. Step 4: Simplify right side
    1,132.32x = 682,596.81
  5. Step 5: Solve for x
    x = 682,596.81/1,132.32
  6. Step 6: Final answer
    x = 602.83

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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.