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Finding the Fourth Proportional to 864.02, 1,294.14 and 538.68

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Solution

The fourth proportional to 864.02, 1,294.14 and 538.68 is: 806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.02 : 1,294.14 = 538.68 : x
  2. Step 2: Convert to fraction form
    864.02/1,294.14 = 538.68/x
  3. Step 3: Cross multiply
    864.02x = 1,294.14 × 538.68
  4. Step 4: Simplify right side
    864.02x = 697,127.34
  5. Step 5: Solve for x
    x = 697,127.34/864.02
  6. Step 6: Final answer
    x = 806.84

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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.