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Finding the Fourth Proportional to 699.84, 1,043.69 and 690.54

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Solution

The fourth proportional to 699.84, 1,043.69 and 690.54 is: 1,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.84 : 1,043.69 = 690.54 : x
  2. Step 2: Convert to fraction form
    699.84/1,043.69 = 690.54/x
  3. Step 3: Cross multiply
    699.84x = 1,043.69 × 690.54
  4. Step 4: Simplify right side
    699.84x = 720,706.24
  5. Step 5: Solve for x
    x = 720,706.24/699.84
  6. Step 6: Final answer
    x = 1,029.82

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