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Finding the Fourth Proportional to 1,357.11, 2,036.65 and 577.33

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Solution

The fourth proportional to 1,357.11, 2,036.65 and 577.33 is: 866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.11 : 2,036.65 = 577.33 : x
  2. Step 2: Convert to fraction form
    1,357.11/2,036.65 = 577.33/x
  3. Step 3: Cross multiply
    1,357.11x = 2,036.65 × 577.33
  4. Step 4: Simplify right side
    1,357.11x = 1,175,819.42
  5. Step 5: Solve for x
    x = 1,175,819.42/1,357.11
  6. Step 6: Final answer
    x = 866.41

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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.