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Finding the Fourth Proportional to 873.29, 1,309.53 and 508.18

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Solution

The fourth proportional to 873.29, 1,309.53 and 508.18 is: 762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.29 : 1,309.53 = 508.18 : x
  2. Step 2: Convert to fraction form
    873.29/1,309.53 = 508.18/x
  3. Step 3: Cross multiply
    873.29x = 1,309.53 × 508.18
  4. Step 4: Simplify right side
    873.29x = 665,476.96
  5. Step 5: Solve for x
    x = 665,476.96/873.29
  6. Step 6: Final answer
    x = 762.03

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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.