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Finding the Fourth Proportional to 903.50, 1,246.88 and 510.56

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Solution

The fourth proportional to 903.50, 1,246.88 and 510.56 is: 704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.50 : 1,246.88 = 510.56 : x
  2. Step 2: Convert to fraction form
    903.50/1,246.88 = 510.56/x
  3. Step 3: Cross multiply
    903.50x = 1,246.88 × 510.56
  4. Step 4: Simplify right side
    903.50x = 636,607.05
  5. Step 5: Solve for x
    x = 636,607.05/903.50
  6. Step 6: Final answer
    x = 704.60

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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.