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Finding the Fourth Proportional to 699.59, 1,048.75 and 266.64

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Solution

The fourth proportional to 699.59, 1,048.75 and 266.64 is: 399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.59 : 1,048.75 = 266.64 : x
  2. Step 2: Convert to fraction form
    699.59/1,048.75 = 266.64/x
  3. Step 3: Cross multiply
    699.59x = 1,048.75 × 266.64
  4. Step 4: Simplify right side
    699.59x = 279,638.03
  5. Step 5: Solve for x
    x = 279,638.03/699.59
  6. Step 6: Final answer
    x = 399.72

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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.