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Finding the Fourth Proportional to 776.93, 1,165.53 and 452.21

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Solution

The fourth proportional to 776.93, 1,165.53 and 452.21 is: 678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.93 : 1,165.53 = 452.21 : x
  2. Step 2: Convert to fraction form
    776.93/1,165.53 = 452.21/x
  3. Step 3: Cross multiply
    776.93x = 1,165.53 × 452.21
  4. Step 4: Simplify right side
    776.93x = 527,064.32
  5. Step 5: Solve for x
    x = 527,064.32/776.93
  6. Step 6: Final answer
    x = 678.39

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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.