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Finding the Fourth Proportional to 1,211.76, 1,669.56 and 918

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Solution

The fourth proportional to 1,211.76, 1,669.56 and 918 is: 1,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.76 : 1,669.56 = 918 : x
  2. Step 2: Convert to fraction form
    1,211.76/1,669.56 = 918/x
  3. Step 3: Cross multiply
    1,211.76x = 1,669.56 × 918
  4. Step 4: Simplify right side
    1,211.76x = 1,532,656.08
  5. Step 5: Solve for x
    x = 1,532,656.08/1,211.76
  6. Step 6: Final answer
    x = 1,264.82

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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.