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Finding the Fourth Proportional to 1,178.68, 1,763.15 and 1,071.76

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Solution

The fourth proportional to 1,178.68, 1,763.15 and 1,071.76 is: 1,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.68 : 1,763.15 = 1,071.76 : x
  2. Step 2: Convert to fraction form
    1,178.68/1,763.15 = 1,071.76/x
  3. Step 3: Cross multiply
    1,178.68x = 1,763.15 × 1,071.76
  4. Step 4: Simplify right side
    1,178.68x = 1,889,659.47
  5. Step 5: Solve for x
    x = 1,889,659.47/1,178.68
  6. Step 6: Final answer
    x = 1,603.21

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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.