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Finding the Fourth Proportional to 1,628.49, 2,444.13 and 655.26

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Solution

The fourth proportional to 1,628.49, 2,444.13 and 655.26 is: 983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.49 : 2,444.13 = 655.26 : x
  2. Step 2: Convert to fraction form
    1,628.49/2,444.13 = 655.26/x
  3. Step 3: Cross multiply
    1,628.49x = 2,444.13 × 655.26
  4. Step 4: Simplify right side
    1,628.49x = 1,601,540.62
  5. Step 5: Solve for x
    x = 1,601,540.62/1,628.49
  6. Step 6: Final answer
    x = 983.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.