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Finding the Fourth Proportional to 1,178.34, 1,758.78 and 1,039.95

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Solution

The fourth proportional to 1,178.34, 1,758.78 and 1,039.95 is: 1,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.34 : 1,758.78 = 1,039.95 : x
  2. Step 2: Convert to fraction form
    1,178.34/1,758.78 = 1,039.95/x
  3. Step 3: Cross multiply
    1,178.34x = 1,758.78 × 1,039.95
  4. Step 4: Simplify right side
    1,178.34x = 1,829,043.26
  5. Step 5: Solve for x
    x = 1,829,043.26/1,178.34
  6. Step 6: Final answer
    x = 1,552.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.