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Finding the Fourth Proportional to 534.73, 797.65 and 526.23

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Solution

The fourth proportional to 534.73, 797.65 and 526.23 is: 784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.73 : 797.65 = 526.23 : x
  2. Step 2: Convert to fraction form
    534.73/797.65 = 526.23/x
  3. Step 3: Cross multiply
    534.73x = 797.65 × 526.23
  4. Step 4: Simplify right side
    534.73x = 419,747.36
  5. Step 5: Solve for x
    x = 419,747.36/534.73
  6. Step 6: Final answer
    x = 784.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.