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Finding the Fourth Proportional to 1,131.12, 1,560.83 and 633.66

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Solution

The fourth proportional to 1,131.12, 1,560.83 and 633.66 is: 874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.12 : 1,560.83 = 633.66 : x
  2. Step 2: Convert to fraction form
    1,131.12/1,560.83 = 633.66/x
  3. Step 3: Cross multiply
    1,131.12x = 1,560.83 × 633.66
  4. Step 4: Simplify right side
    1,131.12x = 989,035.55
  5. Step 5: Solve for x
    x = 989,035.55/1,131.12
  6. Step 6: Final answer
    x = 874.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.