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Finding the Fourth Proportional to 1,496.81, 2,246.24 and 522.91

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Solution

The fourth proportional to 1,496.81, 2,246.24 and 522.91 is: 784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.81 : 2,246.24 = 522.91 : x
  2. Step 2: Convert to fraction form
    1,496.81/2,246.24 = 522.91/x
  3. Step 3: Cross multiply
    1,496.81x = 2,246.24 × 522.91
  4. Step 4: Simplify right side
    1,496.81x = 1,174,573.13
  5. Step 5: Solve for x
    x = 1,174,573.13/1,496.81
  6. Step 6: Final answer
    x = 784.72

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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.