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Finding the Fourth Proportional to 705.48, 972.64 and 574.24

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Solution

The fourth proportional to 705.48, 972.64 and 574.24 is: 791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.48 : 972.64 = 574.24 : x
  2. Step 2: Convert to fraction form
    705.48/972.64 = 574.24/x
  3. Step 3: Cross multiply
    705.48x = 972.64 × 574.24
  4. Step 4: Simplify right side
    705.48x = 558,528.79
  5. Step 5: Solve for x
    x = 558,528.79/705.48
  6. Step 6: Final answer
    x = 791.70

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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.