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Finding the Fourth Proportional to 864.69, 1,193.25 and 471.71

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Solution

The fourth proportional to 864.69, 1,193.25 and 471.71 is: 650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.69 : 1,193.25 = 471.71 : x
  2. Step 2: Convert to fraction form
    864.69/1,193.25 = 471.71/x
  3. Step 3: Cross multiply
    864.69x = 1,193.25 × 471.71
  4. Step 4: Simplify right side
    864.69x = 562,867.96
  5. Step 5: Solve for x
    x = 562,867.96/864.69
  6. Step 6: Final answer
    x = 650.95

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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.