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Finding the Fourth Proportional to 1,313.62, 1,813.53 and 872.12

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Solution

The fourth proportional to 1,313.62, 1,813.53 and 872.12 is: 1,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.62 : 1,813.53 = 872.12 : x
  2. Step 2: Convert to fraction form
    1,313.62/1,813.53 = 872.12/x
  3. Step 3: Cross multiply
    1,313.62x = 1,813.53 × 872.12
  4. Step 4: Simplify right side
    1,313.62x = 1,581,623.59
  5. Step 5: Solve for x
    x = 1,581,623.59/1,313.62
  6. Step 6: Final answer
    x = 1,204.02

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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.