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Finding the Fourth Proportional to 848.88, 1,272.24 and 463.68

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Solution

The fourth proportional to 848.88, 1,272.24 and 463.68 is: 694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.88 : 1,272.24 = 463.68 : x
  2. Step 2: Convert to fraction form
    848.88/1,272.24 = 463.68/x
  3. Step 3: Cross multiply
    848.88x = 1,272.24 × 463.68
  4. Step 4: Simplify right side
    848.88x = 589,912.24
  5. Step 5: Solve for x
    x = 589,912.24/848.88
  6. Step 6: Final answer
    x = 694.93

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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.