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Finding the Fourth Proportional to 1,033.49, 1,424.64 and 634.42

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Solution

The fourth proportional to 1,033.49, 1,424.64 and 634.42 is: 874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.49 : 1,424.64 = 634.42 : x
  2. Step 2: Convert to fraction form
    1,033.49/1,424.64 = 634.42/x
  3. Step 3: Cross multiply
    1,033.49x = 1,424.64 × 634.42
  4. Step 4: Simplify right side
    1,033.49x = 903,810.61
  5. Step 5: Solve for x
    x = 903,810.61/1,033.49
  6. Step 6: Final answer
    x = 874.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.