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Finding the Fourth Proportional to 873.45, 1,309.76 and 508.35

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Solution

The fourth proportional to 873.45, 1,309.76 and 508.35 is: 762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.45 : 1,309.76 = 508.35 : x
  2. Step 2: Convert to fraction form
    873.45/1,309.76 = 508.35/x
  3. Step 3: Cross multiply
    873.45x = 1,309.76 × 508.35
  4. Step 4: Simplify right side
    873.45x = 665,813.95
  5. Step 5: Solve for x
    x = 665,813.95/873.45
  6. Step 6: Final answer
    x = 762.28

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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.