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Finding the Fourth Proportional to 824.17, 1,137.35 and 446.06

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Solution

The fourth proportional to 824.17, 1,137.35 and 446.06 is: 615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.17 : 1,137.35 = 446.06 : x
  2. Step 2: Convert to fraction form
    824.17/1,137.35 = 446.06/x
  3. Step 3: Cross multiply
    824.17x = 1,137.35 × 446.06
  4. Step 4: Simplify right side
    824.17x = 507,327.10
  5. Step 5: Solve for x
    x = 507,327.10/824.17
  6. Step 6: Final answer
    x = 615.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.