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Finding the Fourth Proportional to 903.82, 1,357.56 and 596.10

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Solution

The fourth proportional to 903.82, 1,357.56 and 596.10 is: 895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.82 : 1,357.56 = 596.10 : x
  2. Step 2: Convert to fraction form
    903.82/1,357.56 = 596.10/x
  3. Step 3: Cross multiply
    903.82x = 1,357.56 × 596.10
  4. Step 4: Simplify right side
    903.82x = 809,241.52
  5. Step 5: Solve for x
    x = 809,241.52/903.82
  6. Step 6: Final answer
    x = 895.36

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Why These Related Problems?

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