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Finding the Fourth Proportional to 942.84, 1,298.84 and 767.88

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Solution

The fourth proportional to 942.84, 1,298.84 and 767.88 is: 1,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.84 : 1,298.84 = 767.88 : x
  2. Step 2: Convert to fraction form
    942.84/1,298.84 = 767.88/x
  3. Step 3: Cross multiply
    942.84x = 1,298.84 × 767.88
  4. Step 4: Simplify right side
    942.84x = 997,349.42
  5. Step 5: Solve for x
    x = 997,349.42/942.84
  6. Step 6: Final answer
    x = 1,057.81

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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.