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Finding the Fourth Proportional to 903.70, 1,247.10 and 510.72

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Solution

The fourth proportional to 903.70, 1,247.10 and 510.72 is: 704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.70 : 1,247.10 = 510.72 : x
  2. Step 2: Convert to fraction form
    903.70/1,247.10 = 510.72/x
  3. Step 3: Cross multiply
    903.70x = 1,247.10 × 510.72
  4. Step 4: Simplify right side
    903.70x = 636,922.03
  5. Step 5: Solve for x
    x = 636,922.03/903.70
  6. Step 6: Final answer
    x = 704.79

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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.