Home / 1,037.36-1,431.56-565.26

Finding the Fourth Proportional to 1,037.36, 1,431.56 and 565.26

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Solution

The fourth proportional to 1,037.36, 1,431.56 and 565.26 is: 780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.36 : 1,431.56 = 565.26 : x
  2. Step 2: Convert to fraction form
    1,037.36/1,431.56 = 565.26/x
  3. Step 3: Cross multiply
    1,037.36x = 1,431.56 × 565.26
  4. Step 4: Simplify right side
    1,037.36x = 809,204.52
  5. Step 5: Solve for x
    x = 809,204.52/1,037.36
  6. Step 6: Final answer
    x = 780.06

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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.