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Finding the Fourth Proportional to 1,299.53, 1,948.21 and 568.55

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Solution

The fourth proportional to 1,299.53, 1,948.21 and 568.55 is: 852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.53 : 1,948.21 = 568.55 : x
  2. Step 2: Convert to fraction form
    1,299.53/1,948.21 = 568.55/x
  3. Step 3: Cross multiply
    1,299.53x = 1,948.21 × 568.55
  4. Step 4: Simplify right side
    1,299.53x = 1,107,654.80
  5. Step 5: Solve for x
    x = 1,107,654.80/1,299.53
  6. Step 6: Final answer
    x = 852.35

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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.