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Finding the Fourth Proportional to 824.96, 1,138.08 and 544.84

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Solution

The fourth proportional to 824.96, 1,138.08 and 544.84 is: 751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.96 : 1,138.08 = 544.84 : x
  2. Step 2: Convert to fraction form
    824.96/1,138.08 = 544.84/x
  3. Step 3: Cross multiply
    824.96x = 1,138.08 × 544.84
  4. Step 4: Simplify right side
    824.96x = 620,071.51
  5. Step 5: Solve for x
    x = 620,071.51/824.96
  6. Step 6: Final answer
    x = 751.64

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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.