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Finding the Fourth Proportional to 1,178.88, 1,756.62 and 1,049.64

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Solution

The fourth proportional to 1,178.88, 1,756.62 and 1,049.64 is: 1,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.88 : 1,756.62 = 1,049.64 : x
  2. Step 2: Convert to fraction form
    1,178.88/1,756.62 = 1,049.64/x
  3. Step 3: Cross multiply
    1,178.88x = 1,756.62 × 1,049.64
  4. Step 4: Simplify right side
    1,178.88x = 1,843,818.62
  5. Step 5: Solve for x
    x = 1,843,818.62/1,178.88
  6. Step 6: Final answer
    x = 1,564.04

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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.