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Finding the Fourth Proportional to 1,054.43, 1,455.60 and 612.25

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Solution

The fourth proportional to 1,054.43, 1,455.60 and 612.25 is: 845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.43 : 1,455.60 = 612.25 : x
  2. Step 2: Convert to fraction form
    1,054.43/1,455.60 = 612.25/x
  3. Step 3: Cross multiply
    1,054.43x = 1,455.60 × 612.25
  4. Step 4: Simplify right side
    1,054.43x = 891,183.82
  5. Step 5: Solve for x
    x = 891,183.82/1,054.43
  6. Step 6: Final answer
    x = 845.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.