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Finding the Fourth Proportional to 777.76, 1,072.08 and 762.40

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Solution

The fourth proportional to 777.76, 1,072.08 and 762.40 is: 1,050.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.76 : 1,072.08 = 762.40 : x
  2. Step 2: Convert to fraction form
    777.76/1,072.08 = 762.40/x
  3. Step 3: Cross multiply
    777.76x = 1,072.08 × 762.40
  4. Step 4: Simplify right side
    777.76x = 817,353.79
  5. Step 5: Solve for x
    x = 817,353.79/777.76
  6. Step 6: Final answer
    x = 1,050.91

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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.