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Finding the Fourth Proportional to 1,013.85, 1,398.90 and 933.18

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Solution

The fourth proportional to 1,013.85, 1,398.90 and 933.18 is: 1,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.85 : 1,398.90 = 933.18 : x
  2. Step 2: Convert to fraction form
    1,013.85/1,398.90 = 933.18/x
  3. Step 3: Cross multiply
    1,013.85x = 1,398.90 × 933.18
  4. Step 4: Simplify right side
    1,013.85x = 1,305,425.50
  5. Step 5: Solve for x
    x = 1,305,425.50/1,013.85
  6. Step 6: Final answer
    x = 1,287.59

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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.