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Finding the Fourth Proportional to 783.93, 1,176.92 and 525.59

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Solution

The fourth proportional to 783.93, 1,176.92 and 525.59 is: 789.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.93 : 1,176.92 = 525.59 : x
  2. Step 2: Convert to fraction form
    783.93/1,176.92 = 525.59/x
  3. Step 3: Cross multiply
    783.93x = 1,176.92 × 525.59
  4. Step 4: Simplify right side
    783.93x = 618,568.87
  5. Step 5: Solve for x
    x = 618,568.87/783.93
  6. Step 6: Final answer
    x = 789.06

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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.