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Finding the Fourth Proportional to 1,363.32, 1,880.55 and 1,033.02

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Solution

The fourth proportional to 1,363.32, 1,880.55 and 1,033.02 is: 1,424.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.32 : 1,880.55 = 1,033.02 : x
  2. Step 2: Convert to fraction form
    1,363.32/1,880.55 = 1,033.02/x
  3. Step 3: Cross multiply
    1,363.32x = 1,880.55 × 1,033.02
  4. Step 4: Simplify right side
    1,363.32x = 1,942,645.76
  5. Step 5: Solve for x
    x = 1,942,645.76/1,363.32
  6. Step 6: Final answer
    x = 1,424.94

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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.