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Finding the Fourth Proportional to 882.26, 1,322.40 and 471.86

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Solution

The fourth proportional to 882.26, 1,322.40 and 471.86 is: 707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.26 : 1,322.40 = 471.86 : x
  2. Step 2: Convert to fraction form
    882.26/1,322.40 = 471.86/x
  3. Step 3: Cross multiply
    882.26x = 1,322.40 × 471.86
  4. Step 4: Simplify right side
    882.26x = 623,987.66
  5. Step 5: Solve for x
    x = 623,987.66/882.26
  6. Step 6: Final answer
    x = 707.26

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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.