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Finding the Fourth Proportional to 941.70, 1,297.10 and 784.02

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Solution

The fourth proportional to 941.70, 1,297.10 and 784.02 is: 1,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.70 : 1,297.10 = 784.02 : x
  2. Step 2: Convert to fraction form
    941.70/1,297.10 = 784.02/x
  3. Step 3: Cross multiply
    941.70x = 1,297.10 × 784.02
  4. Step 4: Simplify right side
    941.70x = 1,016,952.34
  5. Step 5: Solve for x
    x = 1,016,952.34/941.70
  6. Step 6: Final answer
    x = 1,079.91

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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.