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Finding the Fourth Proportional to 1,152.80, 1,729.12 and 383.28

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Solution

The fourth proportional to 1,152.80, 1,729.12 and 383.28 is: 574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.80 : 1,729.12 = 383.28 : x
  2. Step 2: Convert to fraction form
    1,152.80/1,729.12 = 383.28/x
  3. Step 3: Cross multiply
    1,152.80x = 1,729.12 × 383.28
  4. Step 4: Simplify right side
    1,152.80x = 662,737.11
  5. Step 5: Solve for x
    x = 662,737.11/1,152.80
  6. Step 6: Final answer
    x = 574.89

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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.