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Finding the Fourth Proportional to 864.53, 1,193.10 and 471.56

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Solution

The fourth proportional to 864.53, 1,193.10 and 471.56 is: 650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.53 : 1,193.10 = 471.56 : x
  2. Step 2: Convert to fraction form
    864.53/1,193.10 = 471.56/x
  3. Step 3: Cross multiply
    864.53x = 1,193.10 × 471.56
  4. Step 4: Simplify right side
    864.53x = 562,618.24
  5. Step 5: Solve for x
    x = 562,618.24/864.53
  6. Step 6: Final answer
    x = 650.78

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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.