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Finding the Fourth Proportional to 1,064.52, 1,596.96 and 804.87

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Solution

The fourth proportional to 1,064.52, 1,596.96 and 804.87 is: 1,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.52 : 1,596.96 = 804.87 : x
  2. Step 2: Convert to fraction form
    1,064.52/1,596.96 = 804.87/x
  3. Step 3: Cross multiply
    1,064.52x = 1,596.96 × 804.87
  4. Step 4: Simplify right side
    1,064.52x = 1,285,345.20
  5. Step 5: Solve for x
    x = 1,285,345.20/1,064.52
  6. Step 6: Final answer
    x = 1,207.44

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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.