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Finding the Fourth Proportional to 1,037.54, 1,431.78 and 595.43

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Solution

The fourth proportional to 1,037.54, 1,431.78 and 595.43 is: 821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.54 : 1,431.78 = 595.43 : x
  2. Step 2: Convert to fraction form
    1,037.54/1,431.78 = 595.43/x
  3. Step 3: Cross multiply
    1,037.54x = 1,431.78 × 595.43
  4. Step 4: Simplify right side
    1,037.54x = 852,528.80
  5. Step 5: Solve for x
    x = 852,528.80/1,037.54
  6. Step 6: Final answer
    x = 821.68

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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.