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Finding the Fourth Proportional to 1,152.56, 1,728.66 and 503.12

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Solution

The fourth proportional to 1,152.56, 1,728.66 and 503.12 is: 754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.56 : 1,728.66 = 503.12 : x
  2. Step 2: Convert to fraction form
    1,152.56/1,728.66 = 503.12/x
  3. Step 3: Cross multiply
    1,152.56x = 1,728.66 × 503.12
  4. Step 4: Simplify right side
    1,152.56x = 869,723.42
  5. Step 5: Solve for x
    x = 869,723.42/1,152.56
  6. Step 6: Final answer
    x = 754.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.