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Finding the Fourth Proportional to 1,492, 2,237.67 and 504.70

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Solution

The fourth proportional to 1,492, 2,237.67 and 504.70 is: 756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492 : 2,237.67 = 504.70 : x
  2. Step 2: Convert to fraction form
    1,492/2,237.67 = 504.70/x
  3. Step 3: Cross multiply
    1,492x = 2,237.67 × 504.70
  4. Step 4: Simplify right side
    1,492x = 1,129,352.05
  5. Step 5: Solve for x
    x = 1,129,352.05/1,492
  6. Step 6: Final answer
    x = 756.94

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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.