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Finding the Fourth Proportional to 1,555, 2,332.74 and 459.25

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Solution

The fourth proportional to 1,555, 2,332.74 and 459.25 is: 688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555 : 2,332.74 = 459.25 : x
  2. Step 2: Convert to fraction form
    1,555/2,332.74 = 459.25/x
  3. Step 3: Cross multiply
    1,555x = 2,332.74 × 459.25
  4. Step 4: Simplify right side
    1,555x = 1,071,310.85
  5. Step 5: Solve for x
    x = 1,071,310.85/1,555
  6. Step 6: Final answer
    x = 688.95

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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.