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Finding the Fourth Proportional to 699.23, 1,048.97 and 288.14

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Solution

The fourth proportional to 699.23, 1,048.97 and 288.14 is: 432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.23 : 1,048.97 = 288.14 : x
  2. Step 2: Convert to fraction form
    699.23/1,048.97 = 288.14/x
  3. Step 3: Cross multiply
    699.23x = 1,048.97 × 288.14
  4. Step 4: Simplify right side
    699.23x = 302,247.46
  5. Step 5: Solve for x
    x = 302,247.46/699.23
  6. Step 6: Final answer
    x = 432.26

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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.