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Finding the Fourth Proportional to 1,313.72, 1,811.43 and 981.59

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Solution

The fourth proportional to 1,313.72, 1,811.43 and 981.59 is: 1,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.72 : 1,811.43 = 981.59 : x
  2. Step 2: Convert to fraction form
    1,313.72/1,811.43 = 981.59/x
  3. Step 3: Cross multiply
    1,313.72x = 1,811.43 × 981.59
  4. Step 4: Simplify right side
    1,313.72x = 1,778,081.57
  5. Step 5: Solve for x
    x = 1,778,081.57/1,313.72
  6. Step 6: Final answer
    x = 1,353.47

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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.