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Finding the Fourth Proportional to 1,262.30, 1,892.86 and 440.47

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Solution

The fourth proportional to 1,262.30, 1,892.86 and 440.47 is: 660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.30 : 1,892.86 = 440.47 : x
  2. Step 2: Convert to fraction form
    1,262.30/1,892.86 = 440.47/x
  3. Step 3: Cross multiply
    1,262.30x = 1,892.86 × 440.47
  4. Step 4: Simplify right side
    1,262.30x = 833,741.11
  5. Step 5: Solve for x
    x = 833,741.11/1,262.30
  6. Step 6: Final answer
    x = 660.49

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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.