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Finding the Fourth Proportional to 903.34, 1,246.21 and 654.22

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Solution

The fourth proportional to 903.34, 1,246.21 and 654.22 is: 902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.34 : 1,246.21 = 654.22 : x
  2. Step 2: Convert to fraction form
    903.34/1,246.21 = 654.22/x
  3. Step 3: Cross multiply
    903.34x = 1,246.21 × 654.22
  4. Step 4: Simplify right side
    903.34x = 815,295.51
  5. Step 5: Solve for x
    x = 815,295.51/903.34
  6. Step 6: Final answer
    x = 902.53

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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.