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Finding the Fourth Proportional to 1,152.04, 1,728.08 and 502.80

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Solution

The fourth proportional to 1,152.04, 1,728.08 and 502.80 is: 754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.04 : 1,728.08 = 502.80 : x
  2. Step 2: Convert to fraction form
    1,152.04/1,728.08 = 502.80/x
  3. Step 3: Cross multiply
    1,152.04x = 1,728.08 × 502.80
  4. Step 4: Simplify right side
    1,152.04x = 868,878.62
  5. Step 5: Solve for x
    x = 868,878.62/1,152.04
  6. Step 6: Final answer
    x = 754.21

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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.