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Finding the Fourth Proportional to 903.30, 1,244.76 and 654.14

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Solution

The fourth proportional to 903.30, 1,244.76 and 654.14 is: 901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.30 : 1,244.76 = 654.14 : x
  2. Step 2: Convert to fraction form
    903.30/1,244.76 = 654.14/x
  3. Step 3: Cross multiply
    903.30x = 1,244.76 × 654.14
  4. Step 4: Simplify right side
    903.30x = 814,247.31
  5. Step 5: Solve for x
    x = 814,247.31/903.30
  6. Step 6: Final answer
    x = 901.41

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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.