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Finding the Fourth Proportional to 1,724.50, 2,587.11 and 698.50

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Solution

The fourth proportional to 1,724.50, 2,587.11 and 698.50 is: 1,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.50 : 2,587.11 = 698.50 : x
  2. Step 2: Convert to fraction form
    1,724.50/2,587.11 = 698.50/x
  3. Step 3: Cross multiply
    1,724.50x = 2,587.11 × 698.50
  4. Step 4: Simplify right side
    1,724.50x = 1,807,096.34
  5. Step 5: Solve for x
    x = 1,807,096.34/1,724.50
  6. Step 6: Final answer
    x = 1,047.90

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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.