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Finding the Fourth Proportional to 978.33, 1,350.09 and 536.23

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Solution

The fourth proportional to 978.33, 1,350.09 and 536.23 is: 739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.33 : 1,350.09 = 536.23 : x
  2. Step 2: Convert to fraction form
    978.33/1,350.09 = 536.23/x
  3. Step 3: Cross multiply
    978.33x = 1,350.09 × 536.23
  4. Step 4: Simplify right side
    978.33x = 723,952.01
  5. Step 5: Solve for x
    x = 723,952.01/978.33
  6. Step 6: Final answer
    x = 739.99

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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.