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Finding the Fourth Proportional to 1,497.50, 2,246.56 and 524.29

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Solution

The fourth proportional to 1,497.50, 2,246.56 and 524.29 is: 786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.50 : 2,246.56 = 524.29 : x
  2. Step 2: Convert to fraction form
    1,497.50/2,246.56 = 524.29/x
  3. Step 3: Cross multiply
    1,497.50x = 2,246.56 × 524.29
  4. Step 4: Simplify right side
    1,497.50x = 1,177,842.02
  5. Step 5: Solve for x
    x = 1,177,842.02/1,497.50
  6. Step 6: Final answer
    x = 786.54

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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.