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Finding the Fourth Proportional to 1,311.38, 1,809.70 and 713.87

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Solution

The fourth proportional to 1,311.38, 1,809.70 and 713.87 is: 985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.38 : 1,809.70 = 713.87 : x
  2. Step 2: Convert to fraction form
    1,311.38/1,809.70 = 713.87/x
  3. Step 3: Cross multiply
    1,311.38x = 1,809.70 × 713.87
  4. Step 4: Simplify right side
    1,311.38x = 1,291,881.49
  5. Step 5: Solve for x
    x = 1,291,881.49/1,311.38
  6. Step 6: Final answer
    x = 985.14

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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.