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Finding the Fourth Proportional to 1,535.98, 2,303.97 and 381.73

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Solution

The fourth proportional to 1,535.98, 2,303.97 and 381.73 is: 572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.98 : 2,303.97 = 381.73 : x
  2. Step 2: Convert to fraction form
    1,535.98/2,303.97 = 381.73/x
  3. Step 3: Cross multiply
    1,535.98x = 2,303.97 × 381.73
  4. Step 4: Simplify right side
    1,535.98x = 879,494.47
  5. Step 5: Solve for x
    x = 879,494.47/1,535.98
  6. Step 6: Final answer
    x = 572.60

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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.