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Finding the Fourth Proportional to 977.43, 1,464.33 and 699.21

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Solution

The fourth proportional to 977.43, 1,464.33 and 699.21 is: 1,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.43 : 1,464.33 = 699.21 : x
  2. Step 2: Convert to fraction form
    977.43/1,464.33 = 699.21/x
  3. Step 3: Cross multiply
    977.43x = 1,464.33 × 699.21
  4. Step 4: Simplify right side
    977.43x = 1,023,874.18
  5. Step 5: Solve for x
    x = 1,023,874.18/977.43
  6. Step 6: Final answer
    x = 1,047.52

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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.