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Finding the Fourth Proportional to 654.36, 980.04 and 562.32

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Solution

The fourth proportional to 654.36, 980.04 and 562.32 is: 842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.36 : 980.04 = 562.32 : x
  2. Step 2: Convert to fraction form
    654.36/980.04 = 562.32/x
  3. Step 3: Cross multiply
    654.36x = 980.04 × 562.32
  4. Step 4: Simplify right side
    654.36x = 551,096.09
  5. Step 5: Solve for x
    x = 551,096.09/654.36
  6. Step 6: Final answer
    x = 842.19

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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.