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Finding the Fourth Proportional to 695.16, 957.83 and 595.53

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Solution

The fourth proportional to 695.16, 957.83 and 595.53 is: 820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.16 : 957.83 = 595.53 : x
  2. Step 2: Convert to fraction form
    695.16/957.83 = 595.53/x
  3. Step 3: Cross multiply
    695.16x = 957.83 × 595.53
  4. Step 4: Simplify right side
    695.16x = 570,413.52
  5. Step 5: Solve for x
    x = 570,413.52/695.16
  6. Step 6: Final answer
    x = 820.55

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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.