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Finding the Fourth Proportional to 1,363.14, 1,880.41 and 864.93

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Solution

The fourth proportional to 1,363.14, 1,880.41 and 864.93 is: 1,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.14 : 1,880.41 = 864.93 : x
  2. Step 2: Convert to fraction form
    1,363.14/1,880.41 = 864.93/x
  3. Step 3: Cross multiply
    1,363.14x = 1,880.41 × 864.93
  4. Step 4: Simplify right side
    1,363.14x = 1,626,423.02
  5. Step 5: Solve for x
    x = 1,626,423.02/1,363.14
  6. Step 6: Final answer
    x = 1,193.14

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Why These Related Problems?

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