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Finding the Fourth Proportional to 795.59, 1,193.63 and 357.21

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Solution

The fourth proportional to 795.59, 1,193.63 and 357.21 is: 535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.59 : 1,193.63 = 357.21 : x
  2. Step 2: Convert to fraction form
    795.59/1,193.63 = 357.21/x
  3. Step 3: Cross multiply
    795.59x = 1,193.63 × 357.21
  4. Step 4: Simplify right side
    795.59x = 426,376.57
  5. Step 5: Solve for x
    x = 426,376.57/795.59
  6. Step 6: Final answer
    x = 535.93

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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.