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Finding the Fourth Proportional to 978.42, 1,350.14 and 536.22

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Solution

The fourth proportional to 978.42, 1,350.14 and 536.22 is: 739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.42 : 1,350.14 = 536.22 : x
  2. Step 2: Convert to fraction form
    978.42/1,350.14 = 536.22/x
  3. Step 3: Cross multiply
    978.42x = 1,350.14 × 536.22
  4. Step 4: Simplify right side
    978.42x = 723,972.07
  5. Step 5: Solve for x
    x = 723,972.07/978.42
  6. Step 6: Final answer
    x = 739.94

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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.