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Finding the Fourth Proportional to 864.57, 1,193.07 and 471.57

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Solution

The fourth proportional to 864.57, 1,193.07 and 471.57 is: 650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.57 : 1,193.07 = 471.57 : x
  2. Step 2: Convert to fraction form
    864.57/1,193.07 = 471.57/x
  3. Step 3: Cross multiply
    864.57x = 1,193.07 × 471.57
  4. Step 4: Simplify right side
    864.57x = 562,613.66
  5. Step 5: Solve for x
    x = 562,613.66/864.57
  6. Step 6: Final answer
    x = 650.74

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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.