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Finding the Fourth Proportional to 1,498.84, 2,247.74 and 524.74

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Solution

The fourth proportional to 1,498.84, 2,247.74 and 524.74 is: 786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.84 : 2,247.74 = 524.74 : x
  2. Step 2: Convert to fraction form
    1,498.84/2,247.74 = 524.74/x
  3. Step 3: Cross multiply
    1,498.84x = 2,247.74 × 524.74
  4. Step 4: Simplify right side
    1,498.84x = 1,179,479.09
  5. Step 5: Solve for x
    x = 1,179,479.09/1,498.84
  6. Step 6: Final answer
    x = 786.93

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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.