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Finding the Fourth Proportional to 867.73, 1,197.47 and 474.76

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Solution

The fourth proportional to 867.73, 1,197.47 and 474.76 is: 655.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.73 : 1,197.47 = 474.76 : x
  2. Step 2: Convert to fraction form
    867.73/1,197.47 = 474.76/x
  3. Step 3: Cross multiply
    867.73x = 1,197.47 × 474.76
  4. Step 4: Simplify right side
    867.73x = 568,510.86
  5. Step 5: Solve for x
    x = 568,510.86/867.73
  6. Step 6: Final answer
    x = 655.17

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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.