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Finding the Fourth Proportional to 872.53, 1,309.08 and 410.35

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Solution

The fourth proportional to 872.53, 1,309.08 and 410.35 is: 615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.53 : 1,309.08 = 410.35 : x
  2. Step 2: Convert to fraction form
    872.53/1,309.08 = 410.35/x
  3. Step 3: Cross multiply
    872.53x = 1,309.08 × 410.35
  4. Step 4: Simplify right side
    872.53x = 537,185.53
  5. Step 5: Solve for x
    x = 537,185.53/872.53
  6. Step 6: Final answer
    x = 615.66

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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.