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Finding the Fourth Proportional to 795.65, 1,193.67 and 565.00

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Solution

The fourth proportional to 795.65, 1,193.67 and 565.00 is: 847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.65 : 1,193.67 = 565.00 : x
  2. Step 2: Convert to fraction form
    795.65/1,193.67 = 565.00/x
  3. Step 3: Cross multiply
    795.65x = 1,193.67 × 565.00
  4. Step 4: Simplify right side
    795.65x = 674,420.57
  5. Step 5: Solve for x
    x = 674,420.57/795.65
  6. Step 6: Final answer
    x = 847.64

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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.