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Finding the Fourth Proportional to 1,064.62, 1,596.39 and 487

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Solution

The fourth proportional to 1,064.62, 1,596.39 and 487 is: 730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.62 : 1,596.39 = 487 : x
  2. Step 2: Convert to fraction form
    1,064.62/1,596.39 = 487/x
  3. Step 3: Cross multiply
    1,064.62x = 1,596.39 × 487
  4. Step 4: Simplify right side
    1,064.62x = 777,441.93
  5. Step 5: Solve for x
    x = 777,441.93/1,064.62
  6. Step 6: Final answer
    x = 730.25

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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.