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Finding the Fourth Proportional to 777.42, 1,072.79 and 462.67

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Solution

The fourth proportional to 777.42, 1,072.79 and 462.67 is: 638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.42 : 1,072.79 = 462.67 : x
  2. Step 2: Convert to fraction form
    777.42/1,072.79 = 462.67/x
  3. Step 3: Cross multiply
    777.42x = 1,072.79 × 462.67
  4. Step 4: Simplify right side
    777.42x = 496,342.75
  5. Step 5: Solve for x
    x = 496,342.75/777.42
  6. Step 6: Final answer
    x = 638.45

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1.5x scale

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.