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Finding the Fourth Proportional to 699.57, 1,048.45 and 288.24

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Solution

The fourth proportional to 699.57, 1,048.45 and 288.24 is: 431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.57 : 1,048.45 = 288.24 : x
  2. Step 2: Convert to fraction form
    699.57/1,048.45 = 288.24/x
  3. Step 3: Cross multiply
    699.57x = 1,048.45 × 288.24
  4. Step 4: Simplify right side
    699.57x = 302,205.23
  5. Step 5: Solve for x
    x = 302,205.23/699.57
  6. Step 6: Final answer
    x = 431.99

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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.