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Finding the Fourth Proportional to 1,365.70, 1,885.08 and 806.14

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Solution

The fourth proportional to 1,365.70, 1,885.08 and 806.14 is: 1,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.70 : 1,885.08 = 806.14 : x
  2. Step 2: Convert to fraction form
    1,365.70/1,885.08 = 806.14/x
  3. Step 3: Cross multiply
    1,365.70x = 1,885.08 × 806.14
  4. Step 4: Simplify right side
    1,365.70x = 1,519,638.39
  5. Step 5: Solve for x
    x = 1,519,638.39/1,365.70
  6. Step 6: Final answer
    x = 1,112.72

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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.