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Finding the Fourth Proportional to 1,644.32, 2,269.25 and 898.26

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Solution

The fourth proportional to 1,644.32, 2,269.25 and 898.26 is: 1,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.32 : 2,269.25 = 898.26 : x
  2. Step 2: Convert to fraction form
    1,644.32/2,269.25 = 898.26/x
  3. Step 3: Cross multiply
    1,644.32x = 2,269.25 × 898.26
  4. Step 4: Simplify right side
    1,644.32x = 2,038,366.87
  5. Step 5: Solve for x
    x = 2,038,366.87/1,644.32
  6. Step 6: Final answer
    x = 1,239.64

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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.