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Finding the Fourth Proportional to 701.53, 1,051.95 and 409.14

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Solution

The fourth proportional to 701.53, 1,051.95 and 409.14 is: 613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.53 : 1,051.95 = 409.14 : x
  2. Step 2: Convert to fraction form
    701.53/1,051.95 = 409.14/x
  3. Step 3: Cross multiply
    701.53x = 1,051.95 × 409.14
  4. Step 4: Simplify right side
    701.53x = 430,396.36
  5. Step 5: Solve for x
    x = 430,396.36/701.53
  6. Step 6: Final answer
    x = 613.51

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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.