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Finding the Fourth Proportional to 1,036.82, 1,431.02 and 595.02

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Solution

The fourth proportional to 1,036.82, 1,431.02 and 595.02 is: 821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.82 : 1,431.02 = 595.02 : x
  2. Step 2: Convert to fraction form
    1,036.82/1,431.02 = 595.02/x
  3. Step 3: Cross multiply
    1,036.82x = 1,431.02 × 595.02
  4. Step 4: Simplify right side
    1,036.82x = 851,482.55
  5. Step 5: Solve for x
    x = 851,482.55/1,036.82
  6. Step 6: Final answer
    x = 821.25

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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.