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Finding the Fourth Proportional to 1,287.93, 1,931.82 and 363.63

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Solution

The fourth proportional to 1,287.93, 1,931.82 and 363.63 is: 545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.93 : 1,931.82 = 363.63 : x
  2. Step 2: Convert to fraction form
    1,287.93/1,931.82 = 363.63/x
  3. Step 3: Cross multiply
    1,287.93x = 1,931.82 × 363.63
  4. Step 4: Simplify right side
    1,287.93x = 702,467.71
  5. Step 5: Solve for x
    x = 702,467.71/1,287.93
  6. Step 6: Final answer
    x = 545.42

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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.