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Finding the Fourth Proportional to 695.83, 960.03 and 509.59

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Solution

The fourth proportional to 695.83, 960.03 and 509.59 is: 703.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.83 : 960.03 = 509.59 : x
  2. Step 2: Convert to fraction form
    695.83/960.03 = 509.59/x
  3. Step 3: Cross multiply
    695.83x = 960.03 × 509.59
  4. Step 4: Simplify right side
    695.83x = 489,221.69
  5. Step 5: Solve for x
    x = 489,221.69/695.83
  6. Step 6: Final answer
    x = 703.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.