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Finding the Fourth Proportional to 1,159.14, 1,599.02 and 786.14

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Solution

The fourth proportional to 1,159.14, 1,599.02 and 786.14 is: 1,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.14 : 1,599.02 = 786.14 : x
  2. Step 2: Convert to fraction form
    1,159.14/1,599.02 = 786.14/x
  3. Step 3: Cross multiply
    1,159.14x = 1,599.02 × 786.14
  4. Step 4: Simplify right side
    1,159.14x = 1,257,053.58
  5. Step 5: Solve for x
    x = 1,257,053.58/1,159.14
  6. Step 6: Final answer
    x = 1,084.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.