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Finding the Fourth Proportional to 975.96, 1,464.24 and 565.02

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Solution

The fourth proportional to 975.96, 1,464.24 and 565.02 is: 847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.96 : 1,464.24 = 565.02 : x
  2. Step 2: Convert to fraction form
    975.96/1,464.24 = 565.02/x
  3. Step 3: Cross multiply
    975.96x = 1,464.24 × 565.02
  4. Step 4: Simplify right side
    975.96x = 827,324.88
  5. Step 5: Solve for x
    x = 827,324.88/975.96
  6. Step 6: Final answer
    x = 847.70

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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.