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Finding the Fourth Proportional to 824.48, 1,137.80 and 475.08

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Solution

The fourth proportional to 824.48, 1,137.80 and 475.08 is: 655.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.48 : 1,137.80 = 475.08 : x
  2. Step 2: Convert to fraction form
    824.48/1,137.80 = 475.08/x
  3. Step 3: Cross multiply
    824.48x = 1,137.80 × 475.08
  4. Step 4: Simplify right side
    824.48x = 540,546.02
  5. Step 5: Solve for x
    x = 540,546.02/824.48
  6. Step 6: Final answer
    x = 655.62

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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.