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Finding the Fourth Proportional to 1,117.40, 1,540.88 and 675.05

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Solution

The fourth proportional to 1,117.40, 1,540.88 and 675.05 is: 930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.40 : 1,540.88 = 675.05 : x
  2. Step 2: Convert to fraction form
    1,117.40/1,540.88 = 675.05/x
  3. Step 3: Cross multiply
    1,117.40x = 1,540.88 × 675.05
  4. Step 4: Simplify right side
    1,117.40x = 1,040,159.96
  5. Step 5: Solve for x
    x = 1,040,159.96/1,117.40
  6. Step 6: Final answer
    x = 930.88

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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.