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Finding the Fourth Proportional to 1,232.32, 1,848.74 and 410.54

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Solution

The fourth proportional to 1,232.32, 1,848.74 and 410.54 is: 615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.32 : 1,848.74 = 410.54 : x
  2. Step 2: Convert to fraction form
    1,232.32/1,848.74 = 410.54/x
  3. Step 3: Cross multiply
    1,232.32x = 1,848.74 × 410.54
  4. Step 4: Simplify right side
    1,232.32x = 758,981.72
  5. Step 5: Solve for x
    x = 758,981.72/1,232.32
  6. Step 6: Final answer
    x = 615.90

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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.