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Finding the Fourth Proportional to 777.32, 1,072.10 and 500.84

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Solution

The fourth proportional to 777.32, 1,072.10 and 500.84 is: 690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.32 : 1,072.10 = 500.84 : x
  2. Step 2: Convert to fraction form
    777.32/1,072.10 = 500.84/x
  3. Step 3: Cross multiply
    777.32x = 1,072.10 × 500.84
  4. Step 4: Simplify right side
    777.32x = 536,950.56
  5. Step 5: Solve for x
    x = 536,950.56/777.32
  6. Step 6: Final answer
    x = 690.77

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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.