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Finding the Fourth Proportional to 942.99, 1,302.27 and 777.75

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Solution

The fourth proportional to 942.99, 1,302.27 and 777.75 is: 1,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.99 : 1,302.27 = 777.75 : x
  2. Step 2: Convert to fraction form
    942.99/1,302.27 = 777.75/x
  3. Step 3: Cross multiply
    942.99x = 1,302.27 × 777.75
  4. Step 4: Simplify right side
    942.99x = 1,012,840.49
  5. Step 5: Solve for x
    x = 1,012,840.49/942.99
  6. Step 6: Final answer
    x = 1,074.07

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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.