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Finding the Fourth Proportional to 882.18, 1,322.10 and 470.70

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Solution

The fourth proportional to 882.18, 1,322.10 and 470.70 is: 705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.18 : 1,322.10 = 470.70 : x
  2. Step 2: Convert to fraction form
    882.18/1,322.10 = 470.70/x
  3. Step 3: Cross multiply
    882.18x = 1,322.10 × 470.70
  4. Step 4: Simplify right side
    882.18x = 622,312.47
  5. Step 5: Solve for x
    x = 622,312.47/882.18
  6. Step 6: Final answer
    x = 705.43

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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.