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Finding the Fourth Proportional to 1,771.66, 2,657.50 and 539.08

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Solution

The fourth proportional to 1,771.66, 2,657.50 and 539.08 is: 808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.66 : 2,657.50 = 539.08 : x
  2. Step 2: Convert to fraction form
    1,771.66/2,657.50 = 539.08/x
  3. Step 3: Cross multiply
    1,771.66x = 2,657.50 × 539.08
  4. Step 4: Simplify right side
    1,771.66x = 1,432,605.10
  5. Step 5: Solve for x
    x = 1,432,605.10/1,771.66
  6. Step 6: Final answer
    x = 808.62

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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.