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Finding the Fourth Proportional to 1,032.41, 1,424.94 and 633.89

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Solution

The fourth proportional to 1,032.41, 1,424.94 and 633.89 is: 874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.41 : 1,424.94 = 633.89 : x
  2. Step 2: Convert to fraction form
    1,032.41/1,424.94 = 633.89/x
  3. Step 3: Cross multiply
    1,032.41x = 1,424.94 × 633.89
  4. Step 4: Simplify right side
    1,032.41x = 903,255.22
  5. Step 5: Solve for x
    x = 903,255.22/1,032.41
  6. Step 6: Final answer
    x = 874.90

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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.