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Finding the Fourth Proportional to 1,298.66, 1,948.31 and 568.44

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Solution

The fourth proportional to 1,298.66, 1,948.31 and 568.44 is: 852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.66 : 1,948.31 = 568.44 : x
  2. Step 2: Convert to fraction form
    1,298.66/1,948.31 = 568.44/x
  3. Step 3: Cross multiply
    1,298.66x = 1,948.31 × 568.44
  4. Step 4: Simplify right side
    1,298.66x = 1,107,494.49
  5. Step 5: Solve for x
    x = 1,107,494.49/1,298.66
  6. Step 6: Final answer
    x = 852.80

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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.