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Finding the Fourth Proportional to 677.99, 1,016.91 and 460.01

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Solution

The fourth proportional to 677.99, 1,016.91 and 460.01 is: 689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.99 : 1,016.91 = 460.01 : x
  2. Step 2: Convert to fraction form
    677.99/1,016.91 = 460.01/x
  3. Step 3: Cross multiply
    677.99x = 1,016.91 × 460.01
  4. Step 4: Simplify right side
    677.99x = 467,787.50
  5. Step 5: Solve for x
    x = 467,787.50/677.99
  6. Step 6: Final answer
    x = 689.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.