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Finding the Fourth Proportional to 1,231.89, 1,848.15 and 491.55

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Solution

The fourth proportional to 1,231.89, 1,848.15 and 491.55 is: 737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.89 : 1,848.15 = 491.55 : x
  2. Step 2: Convert to fraction form
    1,231.89/1,848.15 = 491.55/x
  3. Step 3: Cross multiply
    1,231.89x = 1,848.15 × 491.55
  4. Step 4: Simplify right side
    1,231.89x = 908,458.13
  5. Step 5: Solve for x
    x = 908,458.13/1,231.89
  6. Step 6: Final answer
    x = 737.45

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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.