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Finding the Fourth Proportional to 776.57, 1,071.62 and 445.01

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Solution

The fourth proportional to 776.57, 1,071.62 and 445.01 is: 614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.57 : 1,071.62 = 445.01 : x
  2. Step 2: Convert to fraction form
    776.57/1,071.62 = 445.01/x
  3. Step 3: Cross multiply
    776.57x = 1,071.62 × 445.01
  4. Step 4: Simplify right side
    776.57x = 476,881.62
  5. Step 5: Solve for x
    x = 476,881.62/776.57
  6. Step 6: Final answer
    x = 614.09

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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.