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Finding the Fourth Proportional to 864.17, 1,192.56 and 471.20

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Solution

The fourth proportional to 864.17, 1,192.56 and 471.20 is: 650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.17 : 1,192.56 = 471.20 : x
  2. Step 2: Convert to fraction form
    864.17/1,192.56 = 471.20/x
  3. Step 3: Cross multiply
    864.17x = 1,192.56 × 471.20
  4. Step 4: Simplify right side
    864.17x = 561,928.31
  5. Step 5: Solve for x
    x = 561,928.31/864.17
  6. Step 6: Final answer
    x = 650.26

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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.