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Finding the Fourth Proportional to 832.19, 1,248.19 and 523.13

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Solution

The fourth proportional to 832.19, 1,248.19 and 523.13 is: 784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.19 : 1,248.19 = 523.13 : x
  2. Step 2: Convert to fraction form
    832.19/1,248.19 = 523.13/x
  3. Step 3: Cross multiply
    832.19x = 1,248.19 × 523.13
  4. Step 4: Simplify right side
    832.19x = 652,965.63
  5. Step 5: Solve for x
    x = 652,965.63/832.19
  6. Step 6: Final answer
    x = 784.64

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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.