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Finding the Fourth Proportional to 1,363.86, 1,882.24 and 774.45

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Solution

The fourth proportional to 1,363.86, 1,882.24 and 774.45 is: 1,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.86 : 1,882.24 = 774.45 : x
  2. Step 2: Convert to fraction form
    1,363.86/1,882.24 = 774.45/x
  3. Step 3: Cross multiply
    1,363.86x = 1,882.24 × 774.45
  4. Step 4: Simplify right side
    1,363.86x = 1,457,698.83
  5. Step 5: Solve for x
    x = 1,457,698.83/1,363.86
  6. Step 6: Final answer
    x = 1,068.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.