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Finding the Fourth Proportional to 654.86, 983.42 and 545.06

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Solution

The fourth proportional to 654.86, 983.42 and 545.06 is: 818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.86 : 983.42 = 545.06 : x
  2. Step 2: Convert to fraction form
    654.86/983.42 = 545.06/x
  3. Step 3: Cross multiply
    654.86x = 983.42 × 545.06
  4. Step 4: Simplify right side
    654.86x = 536,022.91
  5. Step 5: Solve for x
    x = 536,022.91/654.86
  6. Step 6: Final answer
    x = 818.53

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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.