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Finding the Fourth Proportional to 1,152.64, 1,729.18 and 372.85

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Solution

The fourth proportional to 1,152.64, 1,729.18 and 372.85 is: 559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.64 : 1,729.18 = 372.85 : x
  2. Step 2: Convert to fraction form
    1,152.64/1,729.18 = 372.85/x
  3. Step 3: Cross multiply
    1,152.64x = 1,729.18 × 372.85
  4. Step 4: Simplify right side
    1,152.64x = 644,724.76
  5. Step 5: Solve for x
    x = 644,724.76/1,152.64
  6. Step 6: Final answer
    x = 559.35

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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.