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Finding the Fourth Proportional to 887.24, 1,224.51 and 665.84

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Solution

The fourth proportional to 887.24, 1,224.51 and 665.84 is: 918.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.24 : 1,224.51 = 665.84 : x
  2. Step 2: Convert to fraction form
    887.24/1,224.51 = 665.84/x
  3. Step 3: Cross multiply
    887.24x = 1,224.51 × 665.84
  4. Step 4: Simplify right side
    887.24x = 815,327.74
  5. Step 5: Solve for x
    x = 815,327.74/887.24
  6. Step 6: Final answer
    x = 918.95

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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.