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Finding the Fourth Proportional to 687.58, 948.38 and 477.86

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Solution

The fourth proportional to 687.58, 948.38 and 477.86 is: 659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.58 : 948.38 = 477.86 : x
  2. Step 2: Convert to fraction form
    687.58/948.38 = 477.86/x
  3. Step 3: Cross multiply
    687.58x = 948.38 × 477.86
  4. Step 4: Simplify right side
    687.58x = 453,192.87
  5. Step 5: Solve for x
    x = 453,192.87/687.58
  6. Step 6: Final answer
    x = 659.11

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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.