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Finding the Fourth Proportional to 696.29, 1,043.65 and 284.90

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Solution

The fourth proportional to 696.29, 1,043.65 and 284.90 is: 427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.29 : 1,043.65 = 284.90 : x
  2. Step 2: Convert to fraction form
    696.29/1,043.65 = 284.90/x
  3. Step 3: Cross multiply
    696.29x = 1,043.65 × 284.90
  4. Step 4: Simplify right side
    696.29x = 297,334.46
  5. Step 5: Solve for x
    x = 297,334.46/696.29
  6. Step 6: Final answer
    x = 427.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.