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Finding the Fourth Proportional to 1,166.85, 1,610.21 and 746.61

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Solution

The fourth proportional to 1,166.85, 1,610.21 and 746.61 is: 1,030.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.85 : 1,610.21 = 746.61 : x
  2. Step 2: Convert to fraction form
    1,166.85/1,610.21 = 746.61/x
  3. Step 3: Cross multiply
    1,166.85x = 1,610.21 × 746.61
  4. Step 4: Simplify right side
    1,166.85x = 1,202,195.16
  5. Step 5: Solve for x
    x = 1,202,195.16/1,166.85
  6. Step 6: Final answer
    x = 1,030.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.