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Finding the Fourth Proportional to 795.48, 1,191.06 and 678.84

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Solution

The fourth proportional to 795.48, 1,191.06 and 678.84 is: 1,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.48 : 1,191.06 = 678.84 : x
  2. Step 2: Convert to fraction form
    795.48/1,191.06 = 678.84/x
  3. Step 3: Cross multiply
    795.48x = 1,191.06 × 678.84
  4. Step 4: Simplify right side
    795.48x = 808,539.17
  5. Step 5: Solve for x
    x = 808,539.17/795.48
  6. Step 6: Final answer
    x = 1,016.42

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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.