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Finding the Fourth Proportional to 699.44, 1,048.47 and 288.86

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Solution

The fourth proportional to 699.44, 1,048.47 and 288.86 is: 433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.44 : 1,048.47 = 288.86 : x
  2. Step 2: Convert to fraction form
    699.44/1,048.47 = 288.86/x
  3. Step 3: Cross multiply
    699.44x = 1,048.47 × 288.86
  4. Step 4: Simplify right side
    699.44x = 302,862.24
  5. Step 5: Solve for x
    x = 302,862.24/699.44
  6. Step 6: Final answer
    x = 433.01

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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.