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Finding the Fourth Proportional to 1,135.07, 1,565.60 and 1,096.97

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Solution

The fourth proportional to 1,135.07, 1,565.60 and 1,096.97 is: 1,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.07 : 1,565.60 = 1,096.97 : x
  2. Step 2: Convert to fraction form
    1,135.07/1,565.60 = 1,096.97/x
  3. Step 3: Cross multiply
    1,135.07x = 1,565.60 × 1,096.97
  4. Step 4: Simplify right side
    1,135.07x = 1,717,422.89
  5. Step 5: Solve for x
    x = 1,717,422.89/1,135.07
  6. Step 6: Final answer
    x = 1,513.05

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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.