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Finding the Fourth Proportional to 741.30, 1,023.38 and 493.04

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Solution

The fourth proportional to 741.30, 1,023.38 and 493.04 is: 680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.30 : 1,023.38 = 493.04 : x
  2. Step 2: Convert to fraction form
    741.30/1,023.38 = 493.04/x
  3. Step 3: Cross multiply
    741.30x = 1,023.38 × 493.04
  4. Step 4: Simplify right side
    741.30x = 504,567.28
  5. Step 5: Solve for x
    x = 504,567.28/741.30
  6. Step 6: Final answer
    x = 680.65

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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.