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Finding the Fourth Proportional to 687.33, 946.89 and 488.07

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Solution

The fourth proportional to 687.33, 946.89 and 488.07 is: 672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.33 : 946.89 = 488.07 : x
  2. Step 2: Convert to fraction form
    687.33/946.89 = 488.07/x
  3. Step 3: Cross multiply
    687.33x = 946.89 × 488.07
  4. Step 4: Simplify right side
    687.33x = 462,148.60
  5. Step 5: Solve for x
    x = 462,148.60/687.33
  6. Step 6: Final answer
    x = 672.38

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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.