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Finding the Fourth Proportional to 1,140.12, 1,708.95 and 935.64

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Solution

The fourth proportional to 1,140.12, 1,708.95 and 935.64 is: 1,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.12 : 1,708.95 = 935.64 : x
  2. Step 2: Convert to fraction form
    1,140.12/1,708.95 = 935.64/x
  3. Step 3: Cross multiply
    1,140.12x = 1,708.95 × 935.64
  4. Step 4: Simplify right side
    1,140.12x = 1,598,961.98
  5. Step 5: Solve for x
    x = 1,598,961.98/1,140.12
  6. Step 6: Final answer
    x = 1,402.45

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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.