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Finding the Fourth Proportional to 1,037.13, 1,431.32 and 595.01

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Solution

The fourth proportional to 1,037.13, 1,431.32 and 595.01 is: 821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.13 : 1,431.32 = 595.01 : x
  2. Step 2: Convert to fraction form
    1,037.13/1,431.32 = 595.01/x
  3. Step 3: Cross multiply
    1,037.13x = 1,431.32 × 595.01
  4. Step 4: Simplify right side
    1,037.13x = 851,649.71
  5. Step 5: Solve for x
    x = 851,649.71/1,037.13
  6. Step 6: Final answer
    x = 821.16

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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.