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Finding the Fourth Proportional to 942.57, 1,410.39 and 571.05

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Solution

The fourth proportional to 942.57, 1,410.39 and 571.05 is: 854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.57 : 1,410.39 = 571.05 : x
  2. Step 2: Convert to fraction form
    942.57/1,410.39 = 571.05/x
  3. Step 3: Cross multiply
    942.57x = 1,410.39 × 571.05
  4. Step 4: Simplify right side
    942.57x = 805,403.21
  5. Step 5: Solve for x
    x = 805,403.21/942.57
  6. Step 6: Final answer
    x = 854.48

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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.