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Finding the Fourth Proportional to 697.32, 960.11 and 592.19

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Solution

The fourth proportional to 697.32, 960.11 and 592.19 is: 815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.32 : 960.11 = 592.19 : x
  2. Step 2: Convert to fraction form
    697.32/960.11 = 592.19/x
  3. Step 3: Cross multiply
    697.32x = 960.11 × 592.19
  4. Step 4: Simplify right side
    697.32x = 568,567.54
  5. Step 5: Solve for x
    x = 568,567.54/697.32
  6. Step 6: Final answer
    x = 815.36

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Half scale
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Double scale
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1.5x scale

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.