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Finding the Fourth Proportional to 1,388.15, 2,083.23 and 657.93

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Solution

The fourth proportional to 1,388.15, 2,083.23 and 657.93 is: 987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.15 : 2,083.23 = 657.93 : x
  2. Step 2: Convert to fraction form
    1,388.15/2,083.23 = 657.93/x
  3. Step 3: Cross multiply
    1,388.15x = 2,083.23 × 657.93
  4. Step 4: Simplify right side
    1,388.15x = 1,370,619.51
  5. Step 5: Solve for x
    x = 1,370,619.51/1,388.15
  6. Step 6: Final answer
    x = 987.37

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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.