Home / 1,037.29-1,431.40-595.16

Finding the Fourth Proportional to 1,037.29, 1,431.40 and 595.16

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Solution

The fourth proportional to 1,037.29, 1,431.40 and 595.16 is: 821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.29 : 1,431.40 = 595.16 : x
  2. Step 2: Convert to fraction form
    1,037.29/1,431.40 = 595.16/x
  3. Step 3: Cross multiply
    1,037.29x = 1,431.40 × 595.16
  4. Step 4: Simplify right side
    1,037.29x = 851,913.97
  5. Step 5: Solve for x
    x = 851,913.97/1,037.29
  6. Step 6: Final answer
    x = 821.29

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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.