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Finding the Fourth Proportional to 771.62, 1,064.83 and 417.53

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Solution

The fourth proportional to 771.62, 1,064.83 and 417.53 is: 576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.62 : 1,064.83 = 417.53 : x
  2. Step 2: Convert to fraction form
    771.62/1,064.83 = 417.53/x
  3. Step 3: Cross multiply
    771.62x = 1,064.83 × 417.53
  4. Step 4: Simplify right side
    771.62x = 444,603.07
  5. Step 5: Solve for x
    x = 444,603.07/771.62
  6. Step 6: Final answer
    x = 576.19

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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.