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Finding the Fourth Proportional to 941.81, 1,411.14 and 709.52

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Solution

The fourth proportional to 941.81, 1,411.14 and 709.52 is: 1,063.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.81 : 1,411.14 = 709.52 : x
  2. Step 2: Convert to fraction form
    941.81/1,411.14 = 709.52/x
  3. Step 3: Cross multiply
    941.81x = 1,411.14 × 709.52
  4. Step 4: Simplify right side
    941.81x = 1,001,232.05
  5. Step 5: Solve for x
    x = 1,001,232.05/941.81
  6. Step 6: Final answer
    x = 1,063.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.