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Finding the Fourth Proportional to 1,218.95, 1,680.96 and 1,117.77

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Solution

The fourth proportional to 1,218.95, 1,680.96 and 1,117.77 is: 1,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.95 : 1,680.96 = 1,117.77 : x
  2. Step 2: Convert to fraction form
    1,218.95/1,680.96 = 1,117.77/x
  3. Step 3: Cross multiply
    1,218.95x = 1,680.96 × 1,117.77
  4. Step 4: Simplify right side
    1,218.95x = 1,878,921.07
  5. Step 5: Solve for x
    x = 1,878,921.07/1,218.95
  6. Step 6: Final answer
    x = 1,541.43

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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.