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Finding the Fourth Proportional to 903.25, 1,246.46 and 510.27

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Solution

The fourth proportional to 903.25, 1,246.46 and 510.27 is: 704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.25 : 1,246.46 = 510.27 : x
  2. Step 2: Convert to fraction form
    903.25/1,246.46 = 510.27/x
  3. Step 3: Cross multiply
    903.25x = 1,246.46 × 510.27
  4. Step 4: Simplify right side
    903.25x = 636,023.92
  5. Step 5: Solve for x
    x = 636,023.92/903.25
  6. Step 6: Final answer
    x = 704.15

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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.