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Finding the Fourth Proportional to 828.49, 1,143.68 and 530.13

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Solution

The fourth proportional to 828.49, 1,143.68 and 530.13 is: 731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.49 : 1,143.68 = 530.13 : x
  2. Step 2: Convert to fraction form
    828.49/1,143.68 = 530.13/x
  3. Step 3: Cross multiply
    828.49x = 1,143.68 × 530.13
  4. Step 4: Simplify right side
    828.49x = 606,299.08
  5. Step 5: Solve for x
    x = 606,299.08/828.49
  6. Step 6: Final answer
    x = 731.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.