Home / 1,403.38-2,105.95-537.78

Finding the Fourth Proportional to 1,403.38, 2,105.95 and 537.78

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Solution

The fourth proportional to 1,403.38, 2,105.95 and 537.78 is: 807.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.38 : 2,105.95 = 537.78 : x
  2. Step 2: Convert to fraction form
    1,403.38/2,105.95 = 537.78/x
  3. Step 3: Cross multiply
    1,403.38x = 2,105.95 × 537.78
  4. Step 4: Simplify right side
    1,403.38x = 1,132,537.79
  5. Step 5: Solve for x
    x = 1,132,537.79/1,403.38
  6. Step 6: Final answer
    x = 807.01

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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.