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Finding the Fourth Proportional to 1,054.89, 1,582.19 and 274.94

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Solution

The fourth proportional to 1,054.89, 1,582.19 and 274.94 is: 412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.89 : 1,582.19 = 274.94 : x
  2. Step 2: Convert to fraction form
    1,054.89/1,582.19 = 274.94/x
  3. Step 3: Cross multiply
    1,054.89x = 1,582.19 × 274.94
  4. Step 4: Simplify right side
    1,054.89x = 435,007.32
  5. Step 5: Solve for x
    x = 435,007.32/1,054.89
  6. Step 6: Final answer
    x = 412.37

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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.