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Finding the Fourth Proportional to 776.96, 1,167.57 and 412.01

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Solution

The fourth proportional to 776.96, 1,167.57 and 412.01 is: 619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.96 : 1,167.57 = 412.01 : x
  2. Step 2: Convert to fraction form
    776.96/1,167.57 = 412.01/x
  3. Step 3: Cross multiply
    776.96x = 1,167.57 × 412.01
  4. Step 4: Simplify right side
    776.96x = 481,050.52
  5. Step 5: Solve for x
    x = 481,050.52/776.96
  6. Step 6: Final answer
    x = 619.14

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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.