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Finding the Fourth Proportional to 699.54, 964.83 and 463.07

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Solution

The fourth proportional to 699.54, 964.83 and 463.07 is: 638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.54 : 964.83 = 463.07 : x
  2. Step 2: Convert to fraction form
    699.54/964.83 = 463.07/x
  3. Step 3: Cross multiply
    699.54x = 964.83 × 463.07
  4. Step 4: Simplify right side
    699.54x = 446,781.42
  5. Step 5: Solve for x
    x = 446,781.42/699.54
  6. Step 6: Final answer
    x = 638.68

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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.