Home / 1,065.17-1,596.87-517.07

Finding the Fourth Proportional to 1,065.17, 1,596.87 and 517.07

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Solution

The fourth proportional to 1,065.17, 1,596.87 and 517.07 is: 775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.17 : 1,596.87 = 517.07 : x
  2. Step 2: Convert to fraction form
    1,065.17/1,596.87 = 517.07/x
  3. Step 3: Cross multiply
    1,065.17x = 1,596.87 × 517.07
  4. Step 4: Simplify right side
    1,065.17x = 825,685.59
  5. Step 5: Solve for x
    x = 825,685.59/1,065.17
  6. Step 6: Final answer
    x = 775.17

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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.