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Finding the Fourth Proportional to 864.70, 1,193.26 and 471.74

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Solution

The fourth proportional to 864.70, 1,193.26 and 471.74 is: 650.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.70 : 1,193.26 = 471.74 : x
  2. Step 2: Convert to fraction form
    864.70/1,193.26 = 471.74/x
  3. Step 3: Cross multiply
    864.70x = 1,193.26 × 471.74
  4. Step 4: Simplify right side
    864.70x = 562,908.47
  5. Step 5: Solve for x
    x = 562,908.47/864.70
  6. Step 6: Final answer
    x = 650.99

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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.