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Finding the Fourth Proportional to 1,125.14, 1,687.74 and 303.41

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Solution

The fourth proportional to 1,125.14, 1,687.74 and 303.41 is: 455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.14 : 1,687.74 = 303.41 : x
  2. Step 2: Convert to fraction form
    1,125.14/1,687.74 = 303.41/x
  3. Step 3: Cross multiply
    1,125.14x = 1,687.74 × 303.41
  4. Step 4: Simplify right side
    1,125.14x = 512,077.19
  5. Step 5: Solve for x
    x = 512,077.19/1,125.14
  6. Step 6: Final answer
    x = 455.12

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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.