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Finding the Fourth Proportional to 1,036.96, 1,431.14 and 594.90

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Solution

The fourth proportional to 1,036.96, 1,431.14 and 594.90 is: 821.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.96 : 1,431.14 = 594.90 : x
  2. Step 2: Convert to fraction form
    1,036.96/1,431.14 = 594.90/x
  3. Step 3: Cross multiply
    1,036.96x = 1,431.14 × 594.90
  4. Step 4: Simplify right side
    1,036.96x = 851,382.21
  5. Step 5: Solve for x
    x = 851,382.21/1,036.96
  6. Step 6: Final answer
    x = 821.04

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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.