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Finding the Fourth Proportional to 1,151.60, 1,728.08 and 421.12

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Solution

The fourth proportional to 1,151.60, 1,728.08 and 421.12 is: 631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.60 : 1,728.08 = 421.12 : x
  2. Step 2: Convert to fraction form
    1,151.60/1,728.08 = 421.12/x
  3. Step 3: Cross multiply
    1,151.60x = 1,728.08 × 421.12
  4. Step 4: Simplify right side
    1,151.60x = 727,729.05
  5. Step 5: Solve for x
    x = 727,729.05/1,151.60
  6. Step 6: Final answer
    x = 631.93

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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.