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Finding the Fourth Proportional to 654.58, 902.64 and 561.63

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Solution

The fourth proportional to 654.58, 902.64 and 561.63 is: 774.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.58 : 902.64 = 561.63 : x
  2. Step 2: Convert to fraction form
    654.58/902.64 = 561.63/x
  3. Step 3: Cross multiply
    654.58x = 902.64 × 561.63
  4. Step 4: Simplify right side
    654.58x = 506,949.70
  5. Step 5: Solve for x
    x = 506,949.70/654.58
  6. Step 6: Final answer
    x = 774.47

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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.