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Finding the Fourth Proportional to 887.81, 1,224.33 and 588.74

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Solution

The fourth proportional to 887.81, 1,224.33 and 588.74 is: 811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.81 : 1,224.33 = 588.74 : x
  2. Step 2: Convert to fraction form
    887.81/1,224.33 = 588.74/x
  3. Step 3: Cross multiply
    887.81x = 1,224.33 × 588.74
  4. Step 4: Simplify right side
    887.81x = 720,812.04
  5. Step 5: Solve for x
    x = 720,812.04/887.81
  6. Step 6: Final answer
    x = 811.90

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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.