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Finding the Fourth Proportional to 975.18, 1,344.78 and 695.37

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Solution

The fourth proportional to 975.18, 1,344.78 and 695.37 is: 958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.18 : 1,344.78 = 695.37 : x
  2. Step 2: Convert to fraction form
    975.18/1,344.78 = 695.37/x
  3. Step 3: Cross multiply
    975.18x = 1,344.78 × 695.37
  4. Step 4: Simplify right side
    975.18x = 935,119.67
  5. Step 5: Solve for x
    x = 935,119.67/975.18
  6. Step 6: Final answer
    x = 958.92

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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.