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Finding the Fourth Proportional to 777.50, 1,072.74 and 462.76

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Solution

The fourth proportional to 777.50, 1,072.74 and 462.76 is: 638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.50 : 1,072.74 = 462.76 : x
  2. Step 2: Convert to fraction form
    777.50/1,072.74 = 462.76/x
  3. Step 3: Cross multiply
    777.50x = 1,072.74 × 462.76
  4. Step 4: Simplify right side
    777.50x = 496,421.16
  5. Step 5: Solve for x
    x = 496,421.16/777.50
  6. Step 6: Final answer
    x = 638.48

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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.