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Finding the Fourth Proportional to 697.57, 960.46 and 592.45

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Solution

The fourth proportional to 697.57, 960.46 and 592.45 is: 815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.57 : 960.46 = 592.45 : x
  2. Step 2: Convert to fraction form
    697.57/960.46 = 592.45/x
  3. Step 3: Cross multiply
    697.57x = 960.46 × 592.45
  4. Step 4: Simplify right side
    697.57x = 569,020.64
  5. Step 5: Solve for x
    x = 569,020.64/697.57
  6. Step 6: Final answer
    x = 815.72

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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.