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Finding the Fourth Proportional to 1,007.14, 1,510.83 and 494.02

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Solution

The fourth proportional to 1,007.14, 1,510.83 and 494.02 is: 741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.14 : 1,510.83 = 494.02 : x
  2. Step 2: Convert to fraction form
    1,007.14/1,510.83 = 494.02/x
  3. Step 3: Cross multiply
    1,007.14x = 1,510.83 × 494.02
  4. Step 4: Simplify right side
    1,007.14x = 746,380.24
  5. Step 5: Solve for x
    x = 746,380.24/1,007.14
  6. Step 6: Final answer
    x = 741.09

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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.