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Finding the Fourth Proportional to 1,064.46, 1,468.57 and 665.85

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Solution

The fourth proportional to 1,064.46, 1,468.57 and 665.85 is: 918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.46 : 1,468.57 = 665.85 : x
  2. Step 2: Convert to fraction form
    1,064.46/1,468.57 = 665.85/x
  3. Step 3: Cross multiply
    1,064.46x = 1,468.57 × 665.85
  4. Step 4: Simplify right side
    1,064.46x = 977,847.33
  5. Step 5: Solve for x
    x = 977,847.33/1,064.46
  6. Step 6: Final answer
    x = 918.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.