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Finding the Fourth Proportional to 705.36, 972.36 and 574.14

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Solution

The fourth proportional to 705.36, 972.36 and 574.14 is: 791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.36 : 972.36 = 574.14 : x
  2. Step 2: Convert to fraction form
    705.36/972.36 = 574.14/x
  3. Step 3: Cross multiply
    705.36x = 972.36 × 574.14
  4. Step 4: Simplify right side
    705.36x = 558,270.77
  5. Step 5: Solve for x
    x = 558,270.77/705.36
  6. Step 6: Final answer
    x = 791.47

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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.