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Finding the Fourth Proportional to 1,155.93, 1,734.48 and 746.07

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Solution

The fourth proportional to 1,155.93, 1,734.48 and 746.07 is: 1,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.93 : 1,734.48 = 746.07 : x
  2. Step 2: Convert to fraction form
    1,155.93/1,734.48 = 746.07/x
  3. Step 3: Cross multiply
    1,155.93x = 1,734.48 × 746.07
  4. Step 4: Simplify right side
    1,155.93x = 1,294,043.49
  5. Step 5: Solve for x
    x = 1,294,043.49/1,155.93
  6. Step 6: Final answer
    x = 1,119.48

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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.