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Finding the Fourth Proportional to 687.84, 949.08 and 477.69

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Solution

The fourth proportional to 687.84, 949.08 and 477.69 is: 659.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.84 : 949.08 = 477.69 : x
  2. Step 2: Convert to fraction form
    687.84/949.08 = 477.69/x
  3. Step 3: Cross multiply
    687.84x = 949.08 × 477.69
  4. Step 4: Simplify right side
    687.84x = 453,366.03
  5. Step 5: Solve for x
    x = 453,366.03/687.84
  6. Step 6: Final answer
    x = 659.12

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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.