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Finding the Fourth Proportional to 1,132.21, 1,698.33 and 584.11

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Solution

The fourth proportional to 1,132.21, 1,698.33 and 584.11 is: 876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.21 : 1,698.33 = 584.11 : x
  2. Step 2: Convert to fraction form
    1,132.21/1,698.33 = 584.11/x
  3. Step 3: Cross multiply
    1,132.21x = 1,698.33 × 584.11
  4. Step 4: Simplify right side
    1,132.21x = 992,011.54
  5. Step 5: Solve for x
    x = 992,011.54/1,132.21
  6. Step 6: Final answer
    x = 876.17

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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.