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Finding the Fourth Proportional to 527.84, 726.32 and 513.50

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Solution

The fourth proportional to 527.84, 726.32 and 513.50 is: 706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.84 : 726.32 = 513.50 : x
  2. Step 2: Convert to fraction form
    527.84/726.32 = 513.50/x
  3. Step 3: Cross multiply
    527.84x = 726.32 × 513.50
  4. Step 4: Simplify right side
    527.84x = 372,965.32
  5. Step 5: Solve for x
    x = 372,965.32/527.84
  6. Step 6: Final answer
    x = 706.59

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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.