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Finding the Fourth Proportional to 977.49, 1,464.44 and 565.89

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Solution

The fourth proportional to 977.49, 1,464.44 and 565.89 is: 847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.49 : 1,464.44 = 565.89 : x
  2. Step 2: Convert to fraction form
    977.49/1,464.44 = 565.89/x
  3. Step 3: Cross multiply
    977.49x = 1,464.44 × 565.89
  4. Step 4: Simplify right side
    977.49x = 828,704.03
  5. Step 5: Solve for x
    x = 828,704.03/977.49
  6. Step 6: Final answer
    x = 847.79

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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.