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Finding the Fourth Proportional to 776.93, 1,164.44 and 483.98

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Solution

The fourth proportional to 776.93, 1,164.44 and 483.98 is: 725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.93 : 1,164.44 = 483.98 : x
  2. Step 2: Convert to fraction form
    776.93/1,164.44 = 483.98/x
  3. Step 3: Cross multiply
    776.93x = 1,164.44 × 483.98
  4. Step 4: Simplify right side
    776.93x = 563,561.06
  5. Step 5: Solve for x
    x = 563,561.06/776.93
  6. Step 6: Final answer
    x = 725.37

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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.