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Finding the Fourth Proportional to 977.57, 1,464.18 and 565.68

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Solution

The fourth proportional to 977.57, 1,464.18 and 565.68 is: 847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.57 : 1,464.18 = 565.68 : x
  2. Step 2: Convert to fraction form
    977.57/1,464.18 = 565.68/x
  3. Step 3: Cross multiply
    977.57x = 1,464.18 × 565.68
  4. Step 4: Simplify right side
    977.57x = 828,260.71
  5. Step 5: Solve for x
    x = 828,260.71/977.57
  6. Step 6: Final answer
    x = 847.27

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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.