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Finding the Fourth Proportional to 654.95, 904.32 and 622.32

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Solution

The fourth proportional to 654.95, 904.32 and 622.32 is: 859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.95 : 904.32 = 622.32 : x
  2. Step 2: Convert to fraction form
    654.95/904.32 = 622.32/x
  3. Step 3: Cross multiply
    654.95x = 904.32 × 622.32
  4. Step 4: Simplify right side
    654.95x = 562,773.03
  5. Step 5: Solve for x
    x = 562,773.03/654.95
  6. Step 6: Final answer
    x = 859.26

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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.