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Finding the Fourth Proportional to 1,139.32, 1,708.84 and 369.82

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Solution

The fourth proportional to 1,139.32, 1,708.84 and 369.82 is: 554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.32 : 1,708.84 = 369.82 : x
  2. Step 2: Convert to fraction form
    1,139.32/1,708.84 = 369.82/x
  3. Step 3: Cross multiply
    1,139.32x = 1,708.84 × 369.82
  4. Step 4: Simplify right side
    1,139.32x = 631,963.21
  5. Step 5: Solve for x
    x = 631,963.21/1,139.32
  6. Step 6: Final answer
    x = 554.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.