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Finding the Fourth Proportional to 1,165.25, 1,750.37 and 732.71

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Solution

The fourth proportional to 1,165.25, 1,750.37 and 732.71 is: 1,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.25 : 1,750.37 = 732.71 : x
  2. Step 2: Convert to fraction form
    1,165.25/1,750.37 = 732.71/x
  3. Step 3: Cross multiply
    1,165.25x = 1,750.37 × 732.71
  4. Step 4: Simplify right side
    1,165.25x = 1,282,513.60
  5. Step 5: Solve for x
    x = 1,282,513.60/1,165.25
  6. Step 6: Final answer
    x = 1,100.63

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1.5x scale

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.