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Finding the Fourth Proportional to 1,284.48, 1,926.30 and 635.66

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Solution

The fourth proportional to 1,284.48, 1,926.30 and 635.66 is: 953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.48 : 1,926.30 = 635.66 : x
  2. Step 2: Convert to fraction form
    1,284.48/1,926.30 = 635.66/x
  3. Step 3: Cross multiply
    1,284.48x = 1,926.30 × 635.66
  4. Step 4: Simplify right side
    1,284.48x = 1,224,471.86
  5. Step 5: Solve for x
    x = 1,224,471.86/1,284.48
  6. Step 6: Final answer
    x = 953.28

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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.