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Finding the Fourth Proportional to 694.06, 1,040.76 and 282.86

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Solution

The fourth proportional to 694.06, 1,040.76 and 282.86 is: 424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.06 : 1,040.76 = 282.86 : x
  2. Step 2: Convert to fraction form
    694.06/1,040.76 = 282.86/x
  3. Step 3: Cross multiply
    694.06x = 1,040.76 × 282.86
  4. Step 4: Simplify right side
    694.06x = 294,389.37
  5. Step 5: Solve for x
    x = 294,389.37/694.06
  6. Step 6: Final answer
    x = 424.16

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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.