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Finding the Fourth Proportional to 1,155, 1,594.50 and 713.14

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Solution

The fourth proportional to 1,155, 1,594.50 and 713.14 is: 984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155 : 1,594.50 = 713.14 : x
  2. Step 2: Convert to fraction form
    1,155/1,594.50 = 713.14/x
  3. Step 3: Cross multiply
    1,155x = 1,594.50 × 713.14
  4. Step 4: Simplify right side
    1,155x = 1,137,101.73
  5. Step 5: Solve for x
    x = 1,137,101.73/1,155
  6. Step 6: Final answer
    x = 984.50

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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.