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Finding the Fourth Proportional to 740.25, 1,023.17 and 665.73

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Solution

The fourth proportional to 740.25, 1,023.17 and 665.73 is: 920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.25 : 1,023.17 = 665.73 : x
  2. Step 2: Convert to fraction form
    740.25/1,023.17 = 665.73/x
  3. Step 3: Cross multiply
    740.25x = 1,023.17 × 665.73
  4. Step 4: Simplify right side
    740.25x = 681,151.64
  5. Step 5: Solve for x
    x = 681,151.64/740.25
  6. Step 6: Final answer
    x = 920.16

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Double scale
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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.