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Finding the Fourth Proportional to 905.12, 1,356.84 and 471.76

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Solution

The fourth proportional to 905.12, 1,356.84 and 471.76 is: 707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.12 : 1,356.84 = 471.76 : x
  2. Step 2: Convert to fraction form
    905.12/1,356.84 = 471.76/x
  3. Step 3: Cross multiply
    905.12x = 1,356.84 × 471.76
  4. Step 4: Simplify right side
    905.12x = 640,102.84
  5. Step 5: Solve for x
    x = 640,102.84/905.12
  6. Step 6: Final answer
    x = 707.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.