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Finding the Fourth Proportional to 1,471.72, 2,204.99 and 776.86

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Solution

The fourth proportional to 1,471.72, 2,204.99 and 776.86 is: 1,163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.72 : 2,204.99 = 776.86 : x
  2. Step 2: Convert to fraction form
    1,471.72/2,204.99 = 776.86/x
  3. Step 3: Cross multiply
    1,471.72x = 2,204.99 × 776.86
  4. Step 4: Simplify right side
    1,471.72x = 1,712,962.05
  5. Step 5: Solve for x
    x = 1,712,962.05/1,471.72
  6. Step 6: Final answer
    x = 1,163.92

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1.5x scale

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.