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Finding the Fourth Proportional to 828.04, 1,142.40 and 513.16

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Solution

The fourth proportional to 828.04, 1,142.40 and 513.16 is: 707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.04 : 1,142.40 = 513.16 : x
  2. Step 2: Convert to fraction form
    828.04/1,142.40 = 513.16/x
  3. Step 3: Cross multiply
    828.04x = 1,142.40 × 513.16
  4. Step 4: Simplify right side
    828.04x = 586,233.98
  5. Step 5: Solve for x
    x = 586,233.98/828.04
  6. Step 6: Final answer
    x = 707.98

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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.