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Finding the Fourth Proportional to 898.44, 1,239.84 and 505.50

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Solution

The fourth proportional to 898.44, 1,239.84 and 505.50 is: 697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.44 : 1,239.84 = 505.50 : x
  2. Step 2: Convert to fraction form
    898.44/1,239.84 = 505.50/x
  3. Step 3: Cross multiply
    898.44x = 1,239.84 × 505.50
  4. Step 4: Simplify right side
    898.44x = 626,739.12
  5. Step 5: Solve for x
    x = 626,739.12/898.44
  6. Step 6: Final answer
    x = 697.59

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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.