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Finding the Fourth Proportional to 771.48, 1,064.82 and 472.65

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Solution

The fourth proportional to 771.48, 1,064.82 and 472.65 is: 652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.48 : 1,064.82 = 472.65 : x
  2. Step 2: Convert to fraction form
    771.48/1,064.82 = 472.65/x
  3. Step 3: Cross multiply
    771.48x = 1,064.82 × 472.65
  4. Step 4: Simplify right side
    771.48x = 503,287.17
  5. Step 5: Solve for x
    x = 503,287.17/771.48
  6. Step 6: Final answer
    x = 652.37

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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.