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Finding the Fourth Proportional to 1,392.57, 2,089.13 and 570.83

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Solution

The fourth proportional to 1,392.57, 2,089.13 and 570.83 is: 856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.57 : 2,089.13 = 570.83 : x
  2. Step 2: Convert to fraction form
    1,392.57/2,089.13 = 570.83/x
  3. Step 3: Cross multiply
    1,392.57x = 2,089.13 × 570.83
  4. Step 4: Simplify right side
    1,392.57x = 1,192,524.78
  5. Step 5: Solve for x
    x = 1,192,524.78/1,392.57
  6. Step 6: Final answer
    x = 856.35

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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.