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Finding the Fourth Proportional to 1,033.02, 1,421.97 and 901.80

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Solution

The fourth proportional to 1,033.02, 1,421.97 and 901.80 is: 1,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.02 : 1,421.97 = 901.80 : x
  2. Step 2: Convert to fraction form
    1,033.02/1,421.97 = 901.80/x
  3. Step 3: Cross multiply
    1,033.02x = 1,421.97 × 901.80
  4. Step 4: Simplify right side
    1,033.02x = 1,282,332.55
  5. Step 5: Solve for x
    x = 1,282,332.55/1,033.02
  6. Step 6: Final answer
    x = 1,241.34

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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.