Home / 1,310.93-1,966.82-617.57

Finding the Fourth Proportional to 1,310.93, 1,966.82 and 617.57

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Solution

The fourth proportional to 1,310.93, 1,966.82 and 617.57 is: 926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.93 : 1,966.82 = 617.57 : x
  2. Step 2: Convert to fraction form
    1,310.93/1,966.82 = 617.57/x
  3. Step 3: Cross multiply
    1,310.93x = 1,966.82 × 617.57
  4. Step 4: Simplify right side
    1,310.93x = 1,214,636.11
  5. Step 5: Solve for x
    x = 1,214,636.11/1,310.93
  6. Step 6: Final answer
    x = 926.55

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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.