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Finding the Fourth Proportional to 1,685.89, 2,527.87 and 697.53

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Solution

The fourth proportional to 1,685.89, 2,527.87 and 697.53 is: 1,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.89 : 2,527.87 = 697.53 : x
  2. Step 2: Convert to fraction form
    1,685.89/2,527.87 = 697.53/x
  3. Step 3: Cross multiply
    1,685.89x = 2,527.87 × 697.53
  4. Step 4: Simplify right side
    1,685.89x = 1,763,265.16
  5. Step 5: Solve for x
    x = 1,763,265.16/1,685.89
  6. Step 6: Final answer
    x = 1,045.90

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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.