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Finding the Fourth Proportional to 1,160.45, 1,590.66 and 1,144.88

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Solution

The fourth proportional to 1,160.45, 1,590.66 and 1,144.88 is: 1,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.45 : 1,590.66 = 1,144.88 : x
  2. Step 2: Convert to fraction form
    1,160.45/1,590.66 = 1,144.88/x
  3. Step 3: Cross multiply
    1,160.45x = 1,590.66 × 1,144.88
  4. Step 4: Simplify right side
    1,160.45x = 1,821,106.87
  5. Step 5: Solve for x
    x = 1,821,106.87/1,160.45
  6. Step 6: Final answer
    x = 1,569.32

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