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Finding the Fourth Proportional to 1,433.25, 1,978.16 and 935.03

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Solution

The fourth proportional to 1,433.25, 1,978.16 and 935.03 is: 1,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.25 : 1,978.16 = 935.03 : x
  2. Step 2: Convert to fraction form
    1,433.25/1,978.16 = 935.03/x
  3. Step 3: Cross multiply
    1,433.25x = 1,978.16 × 935.03
  4. Step 4: Simplify right side
    1,433.25x = 1,849,631.39
  5. Step 5: Solve for x
    x = 1,849,631.39/1,433.25
  6. Step 6: Final answer
    x = 1,290.52

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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.