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Finding the Fourth Proportional to 1,054.93, 1,456.31 and 612.67

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Solution

The fourth proportional to 1,054.93, 1,456.31 and 612.67 is: 845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.93 : 1,456.31 = 612.67 : x
  2. Step 2: Convert to fraction form
    1,054.93/1,456.31 = 612.67/x
  3. Step 3: Cross multiply
    1,054.93x = 1,456.31 × 612.67
  4. Step 4: Simplify right side
    1,054.93x = 892,237.45
  5. Step 5: Solve for x
    x = 892,237.45/1,054.93
  6. Step 6: Final answer
    x = 845.78

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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.