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Finding the Fourth Proportional to 527.16, 784.71 and 519.37

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Solution

The fourth proportional to 527.16, 784.71 and 519.37 is: 773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.16 : 784.71 = 519.37 : x
  2. Step 2: Convert to fraction form
    527.16/784.71 = 519.37/x
  3. Step 3: Cross multiply
    527.16x = 784.71 × 519.37
  4. Step 4: Simplify right side
    527.16x = 407,554.83
  5. Step 5: Solve for x
    x = 407,554.83/527.16
  6. Step 6: Final answer
    x = 773.11

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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.