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Finding the Fourth Proportional to 1,776.54, 2,665.20 and 543.96

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Solution

The fourth proportional to 1,776.54, 2,665.20 and 543.96 is: 816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.54 : 2,665.20 = 543.96 : x
  2. Step 2: Convert to fraction form
    1,776.54/2,665.20 = 543.96/x
  3. Step 3: Cross multiply
    1,776.54x = 2,665.20 × 543.96
  4. Step 4: Simplify right side
    1,776.54x = 1,449,762.19
  5. Step 5: Solve for x
    x = 1,449,762.19/1,776.54
  6. Step 6: Final answer
    x = 816.06

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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.