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Finding the Fourth Proportional to 1,148.01, 1,584.29 and 675.82

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Solution

The fourth proportional to 1,148.01, 1,584.29 and 675.82 is: 932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.01 : 1,584.29 = 675.82 : x
  2. Step 2: Convert to fraction form
    1,148.01/1,584.29 = 675.82/x
  3. Step 3: Cross multiply
    1,148.01x = 1,584.29 × 675.82
  4. Step 4: Simplify right side
    1,148.01x = 1,070,683.57
  5. Step 5: Solve for x
    x = 1,070,683.57/1,148.01
  6. Step 6: Final answer
    x = 932.65

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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.