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Finding the Fourth Proportional to 978.22, 1,349.97 and 536.17

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Solution

The fourth proportional to 978.22, 1,349.97 and 536.17 is: 739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.22 : 1,349.97 = 536.17 : x
  2. Step 2: Convert to fraction form
    978.22/1,349.97 = 536.17/x
  3. Step 3: Cross multiply
    978.22x = 1,349.97 × 536.17
  4. Step 4: Simplify right side
    978.22x = 723,813.41
  5. Step 5: Solve for x
    x = 723,813.41/978.22
  6. Step 6: Final answer
    x = 739.93

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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.