Home / 1,310.90-1,966.49-488.96

Finding the Fourth Proportional to 1,310.90, 1,966.49 and 488.96

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Solution

The fourth proportional to 1,310.90, 1,966.49 and 488.96 is: 733.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.90 : 1,966.49 = 488.96 : x
  2. Step 2: Convert to fraction form
    1,310.90/1,966.49 = 488.96/x
  3. Step 3: Cross multiply
    1,310.90x = 1,966.49 × 488.96
  4. Step 4: Simplify right side
    1,310.90x = 961,522.67
  5. Step 5: Solve for x
    x = 961,522.67/1,310.90
  6. Step 6: Final answer
    x = 733.48

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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.