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Finding the Fourth Proportional to 654.66, 980.26 and 524.05

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Solution

The fourth proportional to 654.66, 980.26 and 524.05 is: 784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.66 : 980.26 = 524.05 : x
  2. Step 2: Convert to fraction form
    654.66/980.26 = 524.05/x
  3. Step 3: Cross multiply
    654.66x = 980.26 × 524.05
  4. Step 4: Simplify right side
    654.66x = 513,705.25
  5. Step 5: Solve for x
    x = 513,705.25/654.66
  6. Step 6: Final answer
    x = 784.69

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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.