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Finding the Fourth Proportional to 656.01, 902.63 and 537.56

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Solution

The fourth proportional to 656.01, 902.63 and 537.56 is: 739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.01 : 902.63 = 537.56 : x
  2. Step 2: Convert to fraction form
    656.01/902.63 = 537.56/x
  3. Step 3: Cross multiply
    656.01x = 902.63 × 537.56
  4. Step 4: Simplify right side
    656.01x = 485,210.58
  5. Step 5: Solve for x
    x = 485,210.58/656.01
  6. Step 6: Final answer
    x = 739.64

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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.