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Finding the Fourth Proportional to 873.85, 1,310.36 and 508.75

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Solution

The fourth proportional to 873.85, 1,310.36 and 508.75 is: 762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.85 : 1,310.36 = 508.75 : x
  2. Step 2: Convert to fraction form
    873.85/1,310.36 = 508.75/x
  3. Step 3: Cross multiply
    873.85x = 1,310.36 × 508.75
  4. Step 4: Simplify right side
    873.85x = 666,645.65
  5. Step 5: Solve for x
    x = 666,645.65/873.85
  6. Step 6: Final answer
    x = 762.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.