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Finding the Fourth Proportional to 898.22, 1,239.41 and 505.16

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Solution

The fourth proportional to 898.22, 1,239.41 and 505.16 is: 697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.22 : 1,239.41 = 505.16 : x
  2. Step 2: Convert to fraction form
    898.22/1,239.41 = 505.16/x
  3. Step 3: Cross multiply
    898.22x = 1,239.41 × 505.16
  4. Step 4: Simplify right side
    898.22x = 626,100.36
  5. Step 5: Solve for x
    x = 626,100.36/898.22
  6. Step 6: Final answer
    x = 697.05

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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.