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Finding the Fourth Proportional to 687.06, 946.66 and 465.62

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Solution

The fourth proportional to 687.06, 946.66 and 465.62 is: 641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.06 : 946.66 = 465.62 : x
  2. Step 2: Convert to fraction form
    687.06/946.66 = 465.62/x
  3. Step 3: Cross multiply
    687.06x = 946.66 × 465.62
  4. Step 4: Simplify right side
    687.06x = 440,781.50
  5. Step 5: Solve for x
    x = 440,781.50/687.06
  6. Step 6: Final answer
    x = 641.55

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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.