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Finding the Fourth Proportional to 1,685.01, 2,527.47 and 452.42

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Solution

The fourth proportional to 1,685.01, 2,527.47 and 452.42 is: 678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.01 : 2,527.47 = 452.42 : x
  2. Step 2: Convert to fraction form
    1,685.01/2,527.47 = 452.42/x
  3. Step 3: Cross multiply
    1,685.01x = 2,527.47 × 452.42
  4. Step 4: Simplify right side
    1,685.01x = 1,143,477.98
  5. Step 5: Solve for x
    x = 1,143,477.98/1,685.01
  6. Step 6: Final answer
    x = 678.62

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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.