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Finding the Fourth Proportional to 1,077.66, 1,616.65 and 347.00

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Solution

The fourth proportional to 1,077.66, 1,616.65 and 347.00 is: 520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.66 : 1,616.65 = 347.00 : x
  2. Step 2: Convert to fraction form
    1,077.66/1,616.65 = 347.00/x
  3. Step 3: Cross multiply
    1,077.66x = 1,616.65 × 347.00
  4. Step 4: Simplify right side
    1,077.66x = 560,968.60
  5. Step 5: Solve for x
    x = 560,968.60/1,077.66
  6. Step 6: Final answer
    x = 520.54

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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.