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Finding the Fourth Proportional to 795.15, 1,191.74 and 469.71

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Solution

The fourth proportional to 795.15, 1,191.74 and 469.71 is: 703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.15 : 1,191.74 = 469.71 : x
  2. Step 2: Convert to fraction form
    795.15/1,191.74 = 469.71/x
  3. Step 3: Cross multiply
    795.15x = 1,191.74 × 469.71
  4. Step 4: Simplify right side
    795.15x = 559,769.85
  5. Step 5: Solve for x
    x = 559,769.85/795.15
  6. Step 6: Final answer
    x = 703.98

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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.