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Finding the Fourth Proportional to 1,036.98, 1,431.09 and 595.08

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Solution

The fourth proportional to 1,036.98, 1,431.09 and 595.08 is: 821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.98 : 1,431.09 = 595.08 : x
  2. Step 2: Convert to fraction form
    1,036.98/1,431.09 = 595.08/x
  3. Step 3: Cross multiply
    1,036.98x = 1,431.09 × 595.08
  4. Step 4: Simplify right side
    1,036.98x = 851,613.04
  5. Step 5: Solve for x
    x = 851,613.04/1,036.98
  6. Step 6: Final answer
    x = 821.24

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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.