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Finding the Fourth Proportional to 868.49, 1,299.49 and 503.45

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Solution

The fourth proportional to 868.49, 1,299.49 and 503.45 is: 753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.49 : 1,299.49 = 503.45 : x
  2. Step 2: Convert to fraction form
    868.49/1,299.49 = 503.45/x
  3. Step 3: Cross multiply
    868.49x = 1,299.49 × 503.45
  4. Step 4: Simplify right side
    868.49x = 654,219.23
  5. Step 5: Solve for x
    x = 654,219.23/868.49
  6. Step 6: Final answer
    x = 753.29

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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.