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Finding the Fourth Proportional to 695.54, 958.92 and 577.07

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Solution

The fourth proportional to 695.54, 958.92 and 577.07 is: 795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.54 : 958.92 = 577.07 : x
  2. Step 2: Convert to fraction form
    695.54/958.92 = 577.07/x
  3. Step 3: Cross multiply
    695.54x = 958.92 × 577.07
  4. Step 4: Simplify right side
    695.54x = 553,359.17
  5. Step 5: Solve for x
    x = 553,359.17/695.54
  6. Step 6: Final answer
    x = 795.59

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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.