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Finding the Fourth Proportional to 1,160.37, 1,590.93 and 1,139.58

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Solution

The fourth proportional to 1,160.37, 1,590.93 and 1,139.58 is: 1,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.37 : 1,590.93 = 1,139.58 : x
  2. Step 2: Convert to fraction form
    1,160.37/1,590.93 = 1,139.58/x
  3. Step 3: Cross multiply
    1,160.37x = 1,590.93 × 1,139.58
  4. Step 4: Simplify right side
    1,160.37x = 1,812,992.01
  5. Step 5: Solve for x
    x = 1,812,992.01/1,160.37
  6. Step 6: Final answer
    x = 1,562.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.