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Finding the Fourth Proportional to 1,018.22, 1,525.87 and 628.15

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Solution

The fourth proportional to 1,018.22, 1,525.87 and 628.15 is: 941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.22 : 1,525.87 = 628.15 : x
  2. Step 2: Convert to fraction form
    1,018.22/1,525.87 = 628.15/x
  3. Step 3: Cross multiply
    1,018.22x = 1,525.87 × 628.15
  4. Step 4: Simplify right side
    1,018.22x = 958,475.24
  5. Step 5: Solve for x
    x = 958,475.24/1,018.22
  6. Step 6: Final answer
    x = 941.32

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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.