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Finding the Fourth Proportional to 1,497.35, 2,244.61 and 523.19

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Solution

The fourth proportional to 1,497.35, 2,244.61 and 523.19 is: 784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.35 : 2,244.61 = 523.19 : x
  2. Step 2: Convert to fraction form
    1,497.35/2,244.61 = 523.19/x
  3. Step 3: Cross multiply
    1,497.35x = 2,244.61 × 523.19
  4. Step 4: Simplify right side
    1,497.35x = 1,174,357.51
  5. Step 5: Solve for x
    x = 1,174,357.51/1,497.35
  6. Step 6: Final answer
    x = 784.29

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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.