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Finding the Fourth Proportional to 3,003.77, 4,505.64 and 812.72

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Solution

The fourth proportional to 3,003.77, 4,505.64 and 812.72 is: 1,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.77 : 4,505.64 = 812.72 : x
  2. Step 2: Convert to fraction form
    3,003.77/4,505.64 = 812.72/x
  3. Step 3: Cross multiply
    3,003.77x = 4,505.64 × 812.72
  4. Step 4: Simplify right side
    3,003.77x = 3,661,823.74
  5. Step 5: Solve for x
    x = 3,661,823.74/3,003.77
  6. Step 6: Final answer
    x = 1,219.08

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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.