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Finding the Fourth Proportional to 975.93, 1,465.11 and 937.05

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Solution

The fourth proportional to 975.93, 1,465.11 and 937.05 is: 1,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.93 : 1,465.11 = 937.05 : x
  2. Step 2: Convert to fraction form
    975.93/1,465.11 = 937.05/x
  3. Step 3: Cross multiply
    975.93x = 1,465.11 × 937.05
  4. Step 4: Simplify right side
    975.93x = 1,372,881.33
  5. Step 5: Solve for x
    x = 1,372,881.33/975.93
  6. Step 6: Final answer
    x = 1,406.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.