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Finding the Fourth Proportional to 795.65, 1,191.15 and 601.47

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Solution

The fourth proportional to 795.65, 1,191.15 and 601.47 is: 900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.65 : 1,191.15 = 601.47 : x
  2. Step 2: Convert to fraction form
    795.65/1,191.15 = 601.47/x
  3. Step 3: Cross multiply
    795.65x = 1,191.15 × 601.47
  4. Step 4: Simplify right side
    795.65x = 716,440.99
  5. Step 5: Solve for x
    x = 716,440.99/795.65
  6. Step 6: Final answer
    x = 900.45

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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.