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Finding the Fourth Proportional to 886.98, 1,224.60 and 572.40

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Solution

The fourth proportional to 886.98, 1,224.60 and 572.40 is: 790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.98 : 1,224.60 = 572.40 : x
  2. Step 2: Convert to fraction form
    886.98/1,224.60 = 572.40/x
  3. Step 3: Cross multiply
    886.98x = 1,224.60 × 572.40
  4. Step 4: Simplify right side
    886.98x = 700,961.04
  5. Step 5: Solve for x
    x = 700,961.04/886.98
  6. Step 6: Final answer
    x = 790.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.