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Finding the Fourth Proportional to 1,677.42, 2,516.04 and 523.14

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Solution

The fourth proportional to 1,677.42, 2,516.04 and 523.14 is: 784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.42 : 2,516.04 = 523.14 : x
  2. Step 2: Convert to fraction form
    1,677.42/2,516.04 = 523.14/x
  3. Step 3: Cross multiply
    1,677.42x = 2,516.04 × 523.14
  4. Step 4: Simplify right side
    1,677.42x = 1,316,241.17
  5. Step 5: Solve for x
    x = 1,316,241.17/1,677.42
  6. Step 6: Final answer
    x = 784.68

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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.