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Finding the Fourth Proportional to 975.77, 1,456.26 and 936.08

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Solution

The fourth proportional to 975.77, 1,456.26 and 936.08 is: 1,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.77 : 1,456.26 = 936.08 : x
  2. Step 2: Convert to fraction form
    975.77/1,456.26 = 936.08/x
  3. Step 3: Cross multiply
    975.77x = 1,456.26 × 936.08
  4. Step 4: Simplify right side
    975.77x = 1,363,171.18
  5. Step 5: Solve for x
    x = 1,363,171.18/975.77
  6. Step 6: Final answer
    x = 1,397.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.