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Finding the Fourth Proportional to 847.35, 1,166.75 and 741.85

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Solution

The fourth proportional to 847.35, 1,166.75 and 741.85 is: 1,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.35 : 1,166.75 = 741.85 : x
  2. Step 2: Convert to fraction form
    847.35/1,166.75 = 741.85/x
  3. Step 3: Cross multiply
    847.35x = 1,166.75 × 741.85
  4. Step 4: Simplify right side
    847.35x = 865,546.86
  5. Step 5: Solve for x
    x = 865,546.86/847.35
  6. Step 6: Final answer
    x = 1,021.48

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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.