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Finding the Fourth Proportional to 699.74, 1,048.69 and 288.41

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Solution

The fourth proportional to 699.74, 1,048.69 and 288.41 is: 432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.74 : 1,048.69 = 288.41 : x
  2. Step 2: Convert to fraction form
    699.74/1,048.69 = 288.41/x
  3. Step 3: Cross multiply
    699.74x = 1,048.69 × 288.41
  4. Step 4: Simplify right side
    699.74x = 302,452.68
  5. Step 5: Solve for x
    x = 302,452.68/699.74
  6. Step 6: Final answer
    x = 432.24

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Why These Related Problems?

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