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Finding the Fourth Proportional to 899.65, 1,240.14 and 584.88

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Solution

The fourth proportional to 899.65, 1,240.14 and 584.88 is: 806.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.65 : 1,240.14 = 584.88 : x
  2. Step 2: Convert to fraction form
    899.65/1,240.14 = 584.88/x
  3. Step 3: Cross multiply
    899.65x = 1,240.14 × 584.88
  4. Step 4: Simplify right side
    899.65x = 725,333.08
  5. Step 5: Solve for x
    x = 725,333.08/899.65
  6. Step 6: Final answer
    x = 806.24

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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.