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Finding the Fourth Proportional to 1,105.95, 1,657.76 and 412.31

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Solution

The fourth proportional to 1,105.95, 1,657.76 and 412.31 is: 618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.95 : 1,657.76 = 412.31 : x
  2. Step 2: Convert to fraction form
    1,105.95/1,657.76 = 412.31/x
  3. Step 3: Cross multiply
    1,105.95x = 1,657.76 × 412.31
  4. Step 4: Simplify right side
    1,105.95x = 683,516.20
  5. Step 5: Solve for x
    x = 683,516.20/1,105.95
  6. Step 6: Final answer
    x = 618.04

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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.