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Finding the Fourth Proportional to 776.72, 1,165.12 and 314.72

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Solution

The fourth proportional to 776.72, 1,165.12 and 314.72 is: 472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.72 : 1,165.12 = 314.72 : x
  2. Step 2: Convert to fraction form
    776.72/1,165.12 = 314.72/x
  3. Step 3: Cross multiply
    776.72x = 1,165.12 × 314.72
  4. Step 4: Simplify right side
    776.72x = 366,686.57
  5. Step 5: Solve for x
    x = 366,686.57/776.72
  6. Step 6: Final answer
    x = 472.10

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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.