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Finding the Fourth Proportional to 699.08, 1,048.82 and 260.46

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Solution

The fourth proportional to 699.08, 1,048.82 and 260.46 is: 390.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.08 : 1,048.82 = 260.46 : x
  2. Step 2: Convert to fraction form
    699.08/1,048.82 = 260.46/x
  3. Step 3: Cross multiply
    699.08x = 1,048.82 × 260.46
  4. Step 4: Simplify right side
    699.08x = 273,174.35
  5. Step 5: Solve for x
    x = 273,174.35/699.08
  6. Step 6: Final answer
    x = 390.77

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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.