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Finding the Fourth Proportional to 1,232.78, 1,848.54 and 410.76

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Solution

The fourth proportional to 1,232.78, 1,848.54 and 410.76 is: 615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.78 : 1,848.54 = 410.76 : x
  2. Step 2: Convert to fraction form
    1,232.78/1,848.54 = 410.76/x
  3. Step 3: Cross multiply
    1,232.78x = 1,848.54 × 410.76
  4. Step 4: Simplify right side
    1,232.78x = 759,306.29
  5. Step 5: Solve for x
    x = 759,306.29/1,232.78
  6. Step 6: Final answer
    x = 615.93

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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.