Home / 1,043.38-1,566.14-523.76

Finding the Fourth Proportional to 1,043.38, 1,566.14 and 523.76

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Solution

The fourth proportional to 1,043.38, 1,566.14 and 523.76 is: 786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.38 : 1,566.14 = 523.76 : x
  2. Step 2: Convert to fraction form
    1,043.38/1,566.14 = 523.76/x
  3. Step 3: Cross multiply
    1,043.38x = 1,566.14 × 523.76
  4. Step 4: Simplify right side
    1,043.38x = 820,281.49
  5. Step 5: Solve for x
    x = 820,281.49/1,043.38
  6. Step 6: Final answer
    x = 786.18

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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.