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Finding the Fourth Proportional to 795.83, 1,193.86 and 578.10

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Solution

The fourth proportional to 795.83, 1,193.86 and 578.10 is: 867.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.83 : 1,193.86 = 578.10 : x
  2. Step 2: Convert to fraction form
    795.83/1,193.86 = 578.10/x
  3. Step 3: Cross multiply
    795.83x = 1,193.86 × 578.10
  4. Step 4: Simplify right side
    795.83x = 690,170.47
  5. Step 5: Solve for x
    x = 690,170.47/795.83
  6. Step 6: Final answer
    x = 867.23

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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.