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Finding the Fourth Proportional to 1,106.85, 1,657.17 and 740.94

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Solution

The fourth proportional to 1,106.85, 1,657.17 and 740.94 is: 1,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.85 : 1,657.17 = 740.94 : x
  2. Step 2: Convert to fraction form
    1,106.85/1,657.17 = 740.94/x
  3. Step 3: Cross multiply
    1,106.85x = 1,657.17 × 740.94
  4. Step 4: Simplify right side
    1,106.85x = 1,227,863.54
  5. Step 5: Solve for x
    x = 1,227,863.54/1,106.85
  6. Step 6: Final answer
    x = 1,109.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.