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Finding the Fourth Proportional to 1,265.85, 1,898.17 and 649.24

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Solution

The fourth proportional to 1,265.85, 1,898.17 and 649.24 is: 973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.85 : 1,898.17 = 649.24 : x
  2. Step 2: Convert to fraction form
    1,265.85/1,898.17 = 649.24/x
  3. Step 3: Cross multiply
    1,265.85x = 1,898.17 × 649.24
  4. Step 4: Simplify right side
    1,265.85x = 1,232,361.52
  5. Step 5: Solve for x
    x = 1,232,361.52/1,265.85
  6. Step 6: Final answer
    x = 973.54

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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.