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Finding the Fourth Proportional to 1,536.05, 2,302.58 and 658.78

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Solution

The fourth proportional to 1,536.05, 2,302.58 and 658.78 is: 987.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.05 : 2,302.58 = 658.78 : x
  2. Step 2: Convert to fraction form
    1,536.05/2,302.58 = 658.78/x
  3. Step 3: Cross multiply
    1,536.05x = 2,302.58 × 658.78
  4. Step 4: Simplify right side
    1,536.05x = 1,516,893.65
  5. Step 5: Solve for x
    x = 1,516,893.65/1,536.05
  6. Step 6: Final answer
    x = 987.53

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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.