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Finding the Fourth Proportional to 1,132.32, 1,698.48 and 554.52

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Solution

The fourth proportional to 1,132.32, 1,698.48 and 554.52 is: 831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.32 : 1,698.48 = 554.52 : x
  2. Step 2: Convert to fraction form
    1,132.32/1,698.48 = 554.52/x
  3. Step 3: Cross multiply
    1,132.32x = 1,698.48 × 554.52
  4. Step 4: Simplify right side
    1,132.32x = 941,841.13
  5. Step 5: Solve for x
    x = 941,841.13/1,132.32
  6. Step 6: Final answer
    x = 831.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.