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Finding the Fourth Proportional to 942.87, 1,301.00 and 564.77

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Solution

The fourth proportional to 942.87, 1,301.00 and 564.77 is: 779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.87 : 1,301.00 = 564.77 : x
  2. Step 2: Convert to fraction form
    942.87/1,301.00 = 564.77/x
  3. Step 3: Cross multiply
    942.87x = 1,301.00 × 564.77
  4. Step 4: Simplify right side
    942.87x = 734,766.20
  5. Step 5: Solve for x
    x = 734,766.20/942.87
  6. Step 6: Final answer
    x = 779.28

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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.