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Finding the Fourth Proportional to 880.23, 1,317.24 and 648.57

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Solution

The fourth proportional to 880.23, 1,317.24 and 648.57 is: 970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.23 : 1,317.24 = 648.57 : x
  2. Step 2: Convert to fraction form
    880.23/1,317.24 = 648.57/x
  3. Step 3: Cross multiply
    880.23x = 1,317.24 × 648.57
  4. Step 4: Simplify right side
    880.23x = 854,322.35
  5. Step 5: Solve for x
    x = 854,322.35/880.23
  6. Step 6: Final answer
    x = 970.57

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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.