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Finding the Fourth Proportional to 1,132.12, 1,698.21 and 612.52

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Solution

The fourth proportional to 1,132.12, 1,698.21 and 612.52 is: 918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.12 : 1,698.21 = 612.52 : x
  2. Step 2: Convert to fraction form
    1,132.12/1,698.21 = 612.52/x
  3. Step 3: Cross multiply
    1,132.12x = 1,698.21 × 612.52
  4. Step 4: Simplify right side
    1,132.12x = 1,040,187.59
  5. Step 5: Solve for x
    x = 1,040,187.59/1,132.12
  6. Step 6: Final answer
    x = 918.80

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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.