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Finding the Fourth Proportional to 798.84, 1,192.64 and 675.81

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Solution

The fourth proportional to 798.84, 1,192.64 and 675.81 is: 1,008.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.84 : 1,192.64 = 675.81 : x
  2. Step 2: Convert to fraction form
    798.84/1,192.64 = 675.81/x
  3. Step 3: Cross multiply
    798.84x = 1,192.64 × 675.81
  4. Step 4: Simplify right side
    798.84x = 805,994.66
  5. Step 5: Solve for x
    x = 805,994.66/798.84
  6. Step 6: Final answer
    x = 1,008.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.