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Finding the Fourth Proportional to 1,066.38, 1,597.38 and 1,053.42

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Solution

The fourth proportional to 1,066.38, 1,597.38 and 1,053.42 is: 1,577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.38 : 1,597.38 = 1,053.42 : x
  2. Step 2: Convert to fraction form
    1,066.38/1,597.38 = 1,053.42/x
  3. Step 3: Cross multiply
    1,066.38x = 1,597.38 × 1,053.42
  4. Step 4: Simplify right side
    1,066.38x = 1,682,712.04
  5. Step 5: Solve for x
    x = 1,682,712.04/1,066.38
  6. Step 6: Final answer
    x = 1,577.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.