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Finding the Fourth Proportional to 1,685.42, 2,527.14 and 645.50

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Solution

The fourth proportional to 1,685.42, 2,527.14 and 645.50 is: 967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.42 : 2,527.14 = 645.50 : x
  2. Step 2: Convert to fraction form
    1,685.42/2,527.14 = 645.50/x
  3. Step 3: Cross multiply
    1,685.42x = 2,527.14 × 645.50
  4. Step 4: Simplify right side
    1,685.42x = 1,631,272.77
  5. Step 5: Solve for x
    x = 1,631,272.77/1,685.42
  6. Step 6: Final answer
    x = 967.87

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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.