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Finding the Fourth Proportional to 1,232.93, 1,848.48 and 410.72

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Solution

The fourth proportional to 1,232.93, 1,848.48 and 410.72 is: 615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.93 : 1,848.48 = 410.72 : x
  2. Step 2: Convert to fraction form
    1,232.93/1,848.48 = 410.72/x
  3. Step 3: Cross multiply
    1,232.93x = 1,848.48 × 410.72
  4. Step 4: Simplify right side
    1,232.93x = 759,207.71
  5. Step 5: Solve for x
    x = 759,207.71/1,232.93
  6. Step 6: Final answer
    x = 615.78

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