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Finding the Fourth Proportional to 1,518.77, 2,277.74 and 423.20

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Solution

The fourth proportional to 1,518.77, 2,277.74 and 423.20 is: 634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.77 : 2,277.74 = 423.20 : x
  2. Step 2: Convert to fraction form
    1,518.77/2,277.74 = 423.20/x
  3. Step 3: Cross multiply
    1,518.77x = 2,277.74 × 423.20
  4. Step 4: Simplify right side
    1,518.77x = 963,946.32
  5. Step 5: Solve for x
    x = 963,946.32/1,518.77
  6. Step 6: Final answer
    x = 634.69

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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.