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Finding the Fourth Proportional to 1,113.52, 1,656.19 and 1,091.64

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Solution

The fourth proportional to 1,113.52, 1,656.19 and 1,091.64 is: 1,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.52 : 1,656.19 = 1,091.64 : x
  2. Step 2: Convert to fraction form
    1,113.52/1,656.19 = 1,091.64/x
  3. Step 3: Cross multiply
    1,113.52x = 1,656.19 × 1,091.64
  4. Step 4: Simplify right side
    1,113.52x = 1,807,963.25
  5. Step 5: Solve for x
    x = 1,807,963.25/1,113.52
  6. Step 6: Final answer
    x = 1,623.65

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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.