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Finding the Fourth Proportional to 1,001.42, 1,378.94 and 942.96

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Solution

The fourth proportional to 1,001.42, 1,378.94 and 942.96 is: 1,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.42 : 1,378.94 = 942.96 : x
  2. Step 2: Convert to fraction form
    1,001.42/1,378.94 = 942.96/x
  3. Step 3: Cross multiply
    1,001.42x = 1,378.94 × 942.96
  4. Step 4: Simplify right side
    1,001.42x = 1,300,285.26
  5. Step 5: Solve for x
    x = 1,300,285.26/1,001.42
  6. Step 6: Final answer
    x = 1,298.44

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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.