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Finding the Fourth Proportional to 872.30, 1,203.78 and 540.76

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Solution

The fourth proportional to 872.30, 1,203.78 and 540.76 is: 746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.30 : 1,203.78 = 540.76 : x
  2. Step 2: Convert to fraction form
    872.30/1,203.78 = 540.76/x
  3. Step 3: Cross multiply
    872.30x = 1,203.78 × 540.76
  4. Step 4: Simplify right side
    872.30x = 650,956.07
  5. Step 5: Solve for x
    x = 650,956.07/872.30
  6. Step 6: Final answer
    x = 746.25

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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.