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Finding the Fourth Proportional to 777.61, 1,166.07 and 412.31

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Solution

The fourth proportional to 777.61, 1,166.07 and 412.31 is: 618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.61 : 1,166.07 = 412.31 : x
  2. Step 2: Convert to fraction form
    777.61/1,166.07 = 412.31/x
  3. Step 3: Cross multiply
    777.61x = 1,166.07 × 412.31
  4. Step 4: Simplify right side
    777.61x = 480,785.24
  5. Step 5: Solve for x
    x = 480,785.24/777.61
  6. Step 6: Final answer
    x = 618.29

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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.