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Finding the Fourth Proportional to 1,498.39, 2,247.59 and 524.50

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Solution

The fourth proportional to 1,498.39, 2,247.59 and 524.50 is: 786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.39 : 2,247.59 = 524.50 : x
  2. Step 2: Convert to fraction form
    1,498.39/2,247.59 = 524.50/x
  3. Step 3: Cross multiply
    1,498.39x = 2,247.59 × 524.50
  4. Step 4: Simplify right side
    1,498.39x = 1,178,856.65
  5. Step 5: Solve for x
    x = 1,178,856.65/1,498.39
  6. Step 6: Final answer
    x = 786.75

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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.