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Finding the Fourth Proportional to 524.87, 786.70 and 464.12

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Solution

The fourth proportional to 524.87, 786.70 and 464.12 is: 695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.87 : 786.70 = 464.12 : x
  2. Step 2: Convert to fraction form
    524.87/786.70 = 464.12/x
  3. Step 3: Cross multiply
    524.87x = 786.70 × 464.12
  4. Step 4: Simplify right side
    524.87x = 365,120.88
  5. Step 5: Solve for x
    x = 365,120.88/524.87
  6. Step 6: Final answer
    x = 695.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.