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Finding the Fourth Proportional to 527.36, 786.24 and 520.96

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Solution

The fourth proportional to 527.36, 786.24 and 520.96 is: 776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.36 : 786.24 = 520.96 : x
  2. Step 2: Convert to fraction form
    527.36/786.24 = 520.96/x
  3. Step 3: Cross multiply
    527.36x = 786.24 × 520.96
  4. Step 4: Simplify right side
    527.36x = 409,599.59
  5. Step 5: Solve for x
    x = 409,599.59/527.36
  6. Step 6: Final answer
    x = 776.70

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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.