Home / 1,037.24-1,431.41-565.14

Finding the Fourth Proportional to 1,037.24, 1,431.41 and 565.14

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Solution

The fourth proportional to 1,037.24, 1,431.41 and 565.14 is: 779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.24 : 1,431.41 = 565.14 : x
  2. Step 2: Convert to fraction form
    1,037.24/1,431.41 = 565.14/x
  3. Step 3: Cross multiply
    1,037.24x = 1,431.41 × 565.14
  4. Step 4: Simplify right side
    1,037.24x = 808,947.05
  5. Step 5: Solve for x
    x = 808,947.05/1,037.24
  6. Step 6: Final answer
    x = 779.90

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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.