Home / 1,306.17-1,803.78-933.15

Finding the Fourth Proportional to 1,306.17, 1,803.78 and 933.15

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Solution

The fourth proportional to 1,306.17, 1,803.78 and 933.15 is: 1,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.17 : 1,803.78 = 933.15 : x
  2. Step 2: Convert to fraction form
    1,306.17/1,803.78 = 933.15/x
  3. Step 3: Cross multiply
    1,306.17x = 1,803.78 × 933.15
  4. Step 4: Simplify right side
    1,306.17x = 1,683,197.31
  5. Step 5: Solve for x
    x = 1,683,197.31/1,306.17
  6. Step 6: Final answer
    x = 1,288.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.