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Finding the Fourth Proportional to 903.45, 1,246.71 and 510.48

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Solution

The fourth proportional to 903.45, 1,246.71 and 510.48 is: 704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.45 : 1,246.71 = 510.48 : x
  2. Step 2: Convert to fraction form
    903.45/1,246.71 = 510.48/x
  3. Step 3: Cross multiply
    903.45x = 1,246.71 × 510.48
  4. Step 4: Simplify right side
    903.45x = 636,420.52
  5. Step 5: Solve for x
    x = 636,420.52/903.45
  6. Step 6: Final answer
    x = 704.43

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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.