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Finding the Fourth Proportional to 1,133.84, 1,696.14 and 857.88

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Solution

The fourth proportional to 1,133.84, 1,696.14 and 857.88 is: 1,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.84 : 1,696.14 = 857.88 : x
  2. Step 2: Convert to fraction form
    1,133.84/1,696.14 = 857.88/x
  3. Step 3: Cross multiply
    1,133.84x = 1,696.14 × 857.88
  4. Step 4: Simplify right side
    1,133.84x = 1,455,084.58
  5. Step 5: Solve for x
    x = 1,455,084.58/1,133.84
  6. Step 6: Final answer
    x = 1,283.32

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Why These Related Problems?

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