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Finding the Fourth Proportional to 903.42, 1,246.66 and 510.44

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Solution

The fourth proportional to 903.42, 1,246.66 and 510.44 is: 704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.42 : 1,246.66 = 510.44 : x
  2. Step 2: Convert to fraction form
    903.42/1,246.66 = 510.44/x
  3. Step 3: Cross multiply
    903.42x = 1,246.66 × 510.44
  4. Step 4: Simplify right side
    903.42x = 636,337.62
  5. Step 5: Solve for x
    x = 636,337.62/903.42
  6. Step 6: Final answer
    x = 704.37

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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.