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Finding the Fourth Proportional to 1,498.59, 2,246.67 and 524.61

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Solution

The fourth proportional to 1,498.59, 2,246.67 and 524.61 is: 786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.59 : 2,246.67 = 524.61 : x
  2. Step 2: Convert to fraction form
    1,498.59/2,246.67 = 524.61/x
  3. Step 3: Cross multiply
    1,498.59x = 2,246.67 × 524.61
  4. Step 4: Simplify right side
    1,498.59x = 1,178,625.55
  5. Step 5: Solve for x
    x = 1,178,625.55/1,498.59
  6. Step 6: Final answer
    x = 786.49

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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.