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Finding the Fourth Proportional to 1,003.20, 1,386.24 and 934.08

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Solution

The fourth proportional to 1,003.20, 1,386.24 and 934.08 is: 1,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.20 : 1,386.24 = 934.08 : x
  2. Step 2: Convert to fraction form
    1,003.20/1,386.24 = 934.08/x
  3. Step 3: Cross multiply
    1,003.20x = 1,386.24 × 934.08
  4. Step 4: Simplify right side
    1,003.20x = 1,294,859.06
  5. Step 5: Solve for x
    x = 1,294,859.06/1,003.20
  6. Step 6: Final answer
    x = 1,290.73

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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.