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Finding the Fourth Proportional to 1,213.18, 1,675.13 and 932.98

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Solution

The fourth proportional to 1,213.18, 1,675.13 and 932.98 is: 1,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.18 : 1,675.13 = 932.98 : x
  2. Step 2: Convert to fraction form
    1,213.18/1,675.13 = 932.98/x
  3. Step 3: Cross multiply
    1,213.18x = 1,675.13 × 932.98
  4. Step 4: Simplify right side
    1,213.18x = 1,562,862.79
  5. Step 5: Solve for x
    x = 1,562,862.79/1,213.18
  6. Step 6: Final answer
    x = 1,288.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.