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Finding the Fourth Proportional to 867.78, 1,197.63 and 494.76

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Solution

The fourth proportional to 867.78, 1,197.63 and 494.76 is: 682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.78 : 1,197.63 = 494.76 : x
  2. Step 2: Convert to fraction form
    867.78/1,197.63 = 494.76/x
  3. Step 3: Cross multiply
    867.78x = 1,197.63 × 494.76
  4. Step 4: Simplify right side
    867.78x = 592,539.42
  5. Step 5: Solve for x
    x = 592,539.42/867.78
  6. Step 6: Final answer
    x = 682.82

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Half scale
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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.