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Finding the Fourth Proportional to 527.41, 786.94 and 524.35

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Solution

The fourth proportional to 527.41, 786.94 and 524.35 is: 782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.41 : 786.94 = 524.35 : x
  2. Step 2: Convert to fraction form
    527.41/786.94 = 524.35/x
  3. Step 3: Cross multiply
    527.41x = 786.94 × 524.35
  4. Step 4: Simplify right side
    527.41x = 412,631.99
  5. Step 5: Solve for x
    x = 412,631.99/527.41
  6. Step 6: Final answer
    x = 782.37

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