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Finding the Fourth Proportional to 1,266.04, 1,897.84 and 650.03

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Solution

The fourth proportional to 1,266.04, 1,897.84 and 650.03 is: 974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.04 : 1,897.84 = 650.03 : x
  2. Step 2: Convert to fraction form
    1,266.04/1,897.84 = 650.03/x
  3. Step 3: Cross multiply
    1,266.04x = 1,897.84 × 650.03
  4. Step 4: Simplify right side
    1,266.04x = 1,233,652.94
  5. Step 5: Solve for x
    x = 1,233,652.94/1,266.04
  6. Step 6: Final answer
    x = 974.42

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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.