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Finding the Fourth Proportional to 1,391.14, 2,086.57 and 570.07

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Solution

The fourth proportional to 1,391.14, 2,086.57 and 570.07 is: 855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.14 : 2,086.57 = 570.07 : x
  2. Step 2: Convert to fraction form
    1,391.14/2,086.57 = 570.07/x
  3. Step 3: Cross multiply
    1,391.14x = 2,086.57 × 570.07
  4. Step 4: Simplify right side
    1,391.14x = 1,189,490.96
  5. Step 5: Solve for x
    x = 1,189,490.96/1,391.14
  6. Step 6: Final answer
    x = 855.05

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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.