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Finding the Fourth Proportional to 1,266.61, 1,900.20 and 400.92

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Solution

The fourth proportional to 1,266.61, 1,900.20 and 400.92 is: 601.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.61 : 1,900.20 = 400.92 : x
  2. Step 2: Convert to fraction form
    1,266.61/1,900.20 = 400.92/x
  3. Step 3: Cross multiply
    1,266.61x = 1,900.20 × 400.92
  4. Step 4: Simplify right side
    1,266.61x = 761,823.43
  5. Step 5: Solve for x
    x = 761,823.43/1,266.61
  6. Step 6: Final answer
    x = 601.47

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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.