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Finding the Fourth Proportional to 898.50, 1,239.72 and 505.44

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Solution

The fourth proportional to 898.50, 1,239.72 and 505.44 is: 697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.50 : 1,239.72 = 505.44 : x
  2. Step 2: Convert to fraction form
    898.50/1,239.72 = 505.44/x
  3. Step 3: Cross multiply
    898.50x = 1,239.72 × 505.44
  4. Step 4: Simplify right side
    898.50x = 626,604.08
  5. Step 5: Solve for x
    x = 626,604.08/898.50
  6. Step 6: Final answer
    x = 697.39

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1.5x scale

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.