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Finding the Fourth Proportional to 656.06, 906.15 and 569.81

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Solution

The fourth proportional to 656.06, 906.15 and 569.81 is: 787.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.06 : 906.15 = 569.81 : x
  2. Step 2: Convert to fraction form
    656.06/906.15 = 569.81/x
  3. Step 3: Cross multiply
    656.06x = 906.15 × 569.81
  4. Step 4: Simplify right side
    656.06x = 516,333.33
  5. Step 5: Solve for x
    x = 516,333.33/656.06
  6. Step 6: Final answer
    x = 787.02

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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.