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Finding the Fourth Proportional to 1,037.09, 1,431.13 and 595.14

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Solution

The fourth proportional to 1,037.09, 1,431.13 and 595.14 is: 821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.09 : 1,431.13 = 595.14 : x
  2. Step 2: Convert to fraction form
    1,037.09/1,431.13 = 595.14/x
  3. Step 3: Cross multiply
    1,037.09x = 1,431.13 × 595.14
  4. Step 4: Simplify right side
    1,037.09x = 851,722.71
  5. Step 5: Solve for x
    x = 851,722.71/1,037.09
  6. Step 6: Final answer
    x = 821.26

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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.