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Finding the Fourth Proportional to 873.17, 1,309.34 and 508.06

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Solution

The fourth proportional to 873.17, 1,309.34 and 508.06 is: 761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.17 : 1,309.34 = 508.06 : x
  2. Step 2: Convert to fraction form
    873.17/1,309.34 = 508.06/x
  3. Step 3: Cross multiply
    873.17x = 1,309.34 × 508.06
  4. Step 4: Simplify right side
    873.17x = 665,221.28
  5. Step 5: Solve for x
    x = 665,221.28/873.17
  6. Step 6: Final answer
    x = 761.85

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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.