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Finding the Fourth Proportional to 1,266.38, 1,898.19 and 649.22

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Solution

The fourth proportional to 1,266.38, 1,898.19 and 649.22 is: 973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.38 : 1,898.19 = 649.22 : x
  2. Step 2: Convert to fraction form
    1,266.38/1,898.19 = 649.22/x
  3. Step 3: Cross multiply
    1,266.38x = 1,898.19 × 649.22
  4. Step 4: Simplify right side
    1,266.38x = 1,232,342.91
  5. Step 5: Solve for x
    x = 1,232,342.91/1,266.38
  6. Step 6: Final answer
    x = 973.12

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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.