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Finding the Fourth Proportional to 1,254.40, 1,882.38 and 605.80

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Solution

The fourth proportional to 1,254.40, 1,882.38 and 605.80 is: 909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.40 : 1,882.38 = 605.80 : x
  2. Step 2: Convert to fraction form
    1,254.40/1,882.38 = 605.80/x
  3. Step 3: Cross multiply
    1,254.40x = 1,882.38 × 605.80
  4. Step 4: Simplify right side
    1,254.40x = 1,140,345.80
  5. Step 5: Solve for x
    x = 1,140,345.80/1,254.40
  6. Step 6: Final answer
    x = 909.08

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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.