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Finding the Fourth Proportional to 1,037.76, 1,431.68 and 595.43

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Solution

The fourth proportional to 1,037.76, 1,431.68 and 595.43 is: 821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.76 : 1,431.68 = 595.43 : x
  2. Step 2: Convert to fraction form
    1,037.76/1,431.68 = 595.43/x
  3. Step 3: Cross multiply
    1,037.76x = 1,431.68 × 595.43
  4. Step 4: Simplify right side
    1,037.76x = 852,455.09
  5. Step 5: Solve for x
    x = 852,455.09/1,037.76
  6. Step 6: Final answer
    x = 821.44

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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.