Home / 1,066.24-1,471.38-594.14

Finding the Fourth Proportional to 1,066.24, 1,471.38 and 594.14

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Solution

The fourth proportional to 1,066.24, 1,471.38 and 594.14 is: 819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.24 : 1,471.38 = 594.14 : x
  2. Step 2: Convert to fraction form
    1,066.24/1,471.38 = 594.14/x
  3. Step 3: Cross multiply
    1,066.24x = 1,471.38 × 594.14
  4. Step 4: Simplify right side
    1,066.24x = 874,205.71
  5. Step 5: Solve for x
    x = 874,205.71/1,066.24
  6. Step 6: Final answer
    x = 819.90

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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.