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Finding the Fourth Proportional to 868.74, 1,302.81 and 283.59

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Solution

The fourth proportional to 868.74, 1,302.81 and 283.59 is: 425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.74 : 1,302.81 = 283.59 : x
  2. Step 2: Convert to fraction form
    868.74/1,302.81 = 283.59/x
  3. Step 3: Cross multiply
    868.74x = 1,302.81 × 283.59
  4. Step 4: Simplify right side
    868.74x = 369,463.89
  5. Step 5: Solve for x
    x = 369,463.89/868.74
  6. Step 6: Final answer
    x = 425.29

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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.