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Finding the Fourth Proportional to 817.56, 1,225.26 and 471

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Solution

The fourth proportional to 817.56, 1,225.26 and 471 is: 705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.56 : 1,225.26 = 471 : x
  2. Step 2: Convert to fraction form
    817.56/1,225.26 = 471/x
  3. Step 3: Cross multiply
    817.56x = 1,225.26 × 471
  4. Step 4: Simplify right side
    817.56x = 577,097.46
  5. Step 5: Solve for x
    x = 577,097.46/817.56
  6. Step 6: Final answer
    x = 705.88

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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.