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Finding the Fourth Proportional to 1,518.62, 2,277.95 and 423.00

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Solution

The fourth proportional to 1,518.62, 2,277.95 and 423.00 is: 634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.62 : 2,277.95 = 423.00 : x
  2. Step 2: Convert to fraction form
    1,518.62/2,277.95 = 423.00/x
  3. Step 3: Cross multiply
    1,518.62x = 2,277.95 × 423.00
  4. Step 4: Simplify right side
    1,518.62x = 963,565.52
  5. Step 5: Solve for x
    x = 963,565.52/1,518.62
  6. Step 6: Final answer
    x = 634.50

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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.