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Finding the Fourth Proportional to 884.31, 1,219.50 and 585.24

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Solution

The fourth proportional to 884.31, 1,219.50 and 585.24 is: 807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.31 : 1,219.50 = 585.24 : x
  2. Step 2: Convert to fraction form
    884.31/1,219.50 = 585.24/x
  3. Step 3: Cross multiply
    884.31x = 1,219.50 × 585.24
  4. Step 4: Simplify right side
    884.31x = 713,700.18
  5. Step 5: Solve for x
    x = 713,700.18/884.31
  6. Step 6: Final answer
    x = 807.07

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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.