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Finding the Fourth Proportional to 750.02, 1,124.22 and 287.64

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Solution

The fourth proportional to 750.02, 1,124.22 and 287.64 is: 431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.02 : 1,124.22 = 287.64 : x
  2. Step 2: Convert to fraction form
    750.02/1,124.22 = 287.64/x
  3. Step 3: Cross multiply
    750.02x = 1,124.22 × 287.64
  4. Step 4: Simplify right side
    750.02x = 323,370.64
  5. Step 5: Solve for x
    x = 323,370.64/750.02
  6. Step 6: Final answer
    x = 431.15

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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.