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Finding the Fourth Proportional to 795.34, 1,194.63 and 471.34

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Solution

The fourth proportional to 795.34, 1,194.63 and 471.34 is: 707.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.34 : 1,194.63 = 471.34 : x
  2. Step 2: Convert to fraction form
    795.34/1,194.63 = 471.34/x
  3. Step 3: Cross multiply
    795.34x = 1,194.63 × 471.34
  4. Step 4: Simplify right side
    795.34x = 563,076.90
  5. Step 5: Solve for x
    x = 563,076.90/795.34
  6. Step 6: Final answer
    x = 707.97

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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.