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Finding the Fourth Proportional to 1,155.96, 1,734.97 and 608.53

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Solution

The fourth proportional to 1,155.96, 1,734.97 and 608.53 is: 913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.96 : 1,734.97 = 608.53 : x
  2. Step 2: Convert to fraction form
    1,155.96/1,734.97 = 608.53/x
  3. Step 3: Cross multiply
    1,155.96x = 1,734.97 × 608.53
  4. Step 4: Simplify right side
    1,155.96x = 1,055,781.29
  5. Step 5: Solve for x
    x = 1,055,781.29/1,155.96
  6. Step 6: Final answer
    x = 913.34

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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.