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Finding the Fourth Proportional to 1,132.61, 1,698.48 and 456.21

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Solution

The fourth proportional to 1,132.61, 1,698.48 and 456.21 is: 684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.61 : 1,698.48 = 456.21 : x
  2. Step 2: Convert to fraction form
    1,132.61/1,698.48 = 456.21/x
  3. Step 3: Cross multiply
    1,132.61x = 1,698.48 × 456.21
  4. Step 4: Simplify right side
    1,132.61x = 774,863.56
  5. Step 5: Solve for x
    x = 774,863.56/1,132.61
  6. Step 6: Final answer
    x = 684.14

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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.