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Finding the Fourth Proportional to 1,037.14, 1,431.09 and 595.12

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Solution

The fourth proportional to 1,037.14, 1,431.09 and 595.12 is: 821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.14 : 1,431.09 = 595.12 : x
  2. Step 2: Convert to fraction form
    1,037.14/1,431.09 = 595.12/x
  3. Step 3: Cross multiply
    1,037.14x = 1,431.09 × 595.12
  4. Step 4: Simplify right side
    1,037.14x = 851,670.28
  5. Step 5: Solve for x
    x = 851,670.28/1,037.14
  6. Step 6: Final answer
    x = 821.17

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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.