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Finding the Fourth Proportional to 1,364.02, 2,046.23 and 878.02

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Solution

The fourth proportional to 1,364.02, 2,046.23 and 878.02 is: 1,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.02 : 2,046.23 = 878.02 : x
  2. Step 2: Convert to fraction form
    1,364.02/2,046.23 = 878.02/x
  3. Step 3: Cross multiply
    1,364.02x = 2,046.23 × 878.02
  4. Step 4: Simplify right side
    1,364.02x = 1,796,630.86
  5. Step 5: Solve for x
    x = 1,796,630.86/1,364.02
  6. Step 6: Final answer
    x = 1,317.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.