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Finding the Fourth Proportional to 873.50, 1,310.81 and 509.00

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Solution

The fourth proportional to 873.50, 1,310.81 and 509.00 is: 763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.50 : 1,310.81 = 509.00 : x
  2. Step 2: Convert to fraction form
    873.50/1,310.81 = 509.00/x
  3. Step 3: Cross multiply
    873.50x = 1,310.81 × 509.00
  4. Step 4: Simplify right side
    873.50x = 667,193.19
  5. Step 5: Solve for x
    x = 667,193.19/873.50
  6. Step 6: Final answer
    x = 763.82

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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.