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Finding the Fourth Proportional to 1,299.51, 1,948.16 and 568.53

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Solution

The fourth proportional to 1,299.51, 1,948.16 and 568.53 is: 852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.51 : 1,948.16 = 568.53 : x
  2. Step 2: Convert to fraction form
    1,299.51/1,948.16 = 568.53/x
  3. Step 3: Cross multiply
    1,299.51x = 1,948.16 × 568.53
  4. Step 4: Simplify right side
    1,299.51x = 1,107,584.56
  5. Step 5: Solve for x
    x = 1,107,584.56/1,299.51
  6. Step 6: Final answer
    x = 852.31

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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.