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Finding the Fourth Proportional to 1,054.86, 1,582.49 and 438.23

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Solution

The fourth proportional to 1,054.86, 1,582.49 and 438.23 is: 657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.86 : 1,582.49 = 438.23 : x
  2. Step 2: Convert to fraction form
    1,054.86/1,582.49 = 438.23/x
  3. Step 3: Cross multiply
    1,054.86x = 1,582.49 × 438.23
  4. Step 4: Simplify right side
    1,054.86x = 693,494.59
  5. Step 5: Solve for x
    x = 693,494.59/1,054.86
  6. Step 6: Final answer
    x = 657.43

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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.