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Finding the Fourth Proportional to 696.32, 960.24 and 586.94

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Solution

The fourth proportional to 696.32, 960.24 and 586.94 is: 809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.32 : 960.24 = 586.94 : x
  2. Step 2: Convert to fraction form
    696.32/960.24 = 586.94/x
  3. Step 3: Cross multiply
    696.32x = 960.24 × 586.94
  4. Step 4: Simplify right side
    696.32x = 563,603.27
  5. Step 5: Solve for x
    x = 563,603.27/696.32
  6. Step 6: Final answer
    x = 809.40

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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.