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Finding the Fourth Proportional to 873.74, 1,310.06 and 411.24

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Solution

The fourth proportional to 873.74, 1,310.06 and 411.24 is: 616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.74 : 1,310.06 = 411.24 : x
  2. Step 2: Convert to fraction form
    873.74/1,310.06 = 411.24/x
  3. Step 3: Cross multiply
    873.74x = 1,310.06 × 411.24
  4. Step 4: Simplify right side
    873.74x = 538,749.07
  5. Step 5: Solve for x
    x = 538,749.07/873.74
  6. Step 6: Final answer
    x = 616.60

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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.