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Finding the Fourth Proportional to 1,618.49, 2,426.41 and 507.33

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Solution

The fourth proportional to 1,618.49, 2,426.41 and 507.33 is: 760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.49 : 2,426.41 = 507.33 : x
  2. Step 2: Convert to fraction form
    1,618.49/2,426.41 = 507.33/x
  3. Step 3: Cross multiply
    1,618.49x = 2,426.41 × 507.33
  4. Step 4: Simplify right side
    1,618.49x = 1,230,990.59
  5. Step 5: Solve for x
    x = 1,230,990.59/1,618.49
  6. Step 6: Final answer
    x = 760.58

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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.