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Finding the Fourth Proportional to 2,298.98, 3,449.01 and 655.55

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Solution

The fourth proportional to 2,298.98, 3,449.01 and 655.55 is: 983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.98 : 3,449.01 = 655.55 : x
  2. Step 2: Convert to fraction form
    2,298.98/3,449.01 = 655.55/x
  3. Step 3: Cross multiply
    2,298.98x = 3,449.01 × 655.55
  4. Step 4: Simplify right side
    2,298.98x = 2,260,998.51
  5. Step 5: Solve for x
    x = 2,260,998.51/2,298.98
  6. Step 6: Final answer
    x = 983.48

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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.