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Finding the Fourth Proportional to 1,310.18, 1,965.84 and 652.70

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Solution

The fourth proportional to 1,310.18, 1,965.84 and 652.70 is: 979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.18 : 1,965.84 = 652.70 : x
  2. Step 2: Convert to fraction form
    1,310.18/1,965.84 = 652.70/x
  3. Step 3: Cross multiply
    1,310.18x = 1,965.84 × 652.70
  4. Step 4: Simplify right side
    1,310.18x = 1,283,108.68
  5. Step 5: Solve for x
    x = 1,283,108.68/1,310.18
  6. Step 6: Final answer
    x = 979.34

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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.