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Finding the Fourth Proportional to 1,133.66, 1,696.80 and 857.90

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Solution

The fourth proportional to 1,133.66, 1,696.80 and 857.90 is: 1,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.66 : 1,696.80 = 857.90 : x
  2. Step 2: Convert to fraction form
    1,133.66/1,696.80 = 857.90/x
  3. Step 3: Cross multiply
    1,133.66x = 1,696.80 × 857.90
  4. Step 4: Simplify right side
    1,133.66x = 1,455,684.72
  5. Step 5: Solve for x
    x = 1,455,684.72/1,133.66
  6. Step 6: Final answer
    x = 1,284.06

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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.