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Finding the Fourth Proportional to 824.64, 1,137.76 and 470.48

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Solution

The fourth proportional to 824.64, 1,137.76 and 470.48 is: 649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.64 : 1,137.76 = 470.48 : x
  2. Step 2: Convert to fraction form
    824.64/1,137.76 = 470.48/x
  3. Step 3: Cross multiply
    824.64x = 1,137.76 × 470.48
  4. Step 4: Simplify right side
    824.64x = 535,293.32
  5. Step 5: Solve for x
    x = 535,293.32/824.64
  6. Step 6: Final answer
    x = 649.12

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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.