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Finding the Fourth Proportional to 836.69, 1,154.63 and 500.54

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Solution

The fourth proportional to 836.69, 1,154.63 and 500.54 is: 690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.69 : 1,154.63 = 500.54 : x
  2. Step 2: Convert to fraction form
    836.69/1,154.63 = 500.54/x
  3. Step 3: Cross multiply
    836.69x = 1,154.63 × 500.54
  4. Step 4: Simplify right side
    836.69x = 577,936.00
  5. Step 5: Solve for x
    x = 577,936.00/836.69
  6. Step 6: Final answer
    x = 690.74

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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.