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Finding the Fourth Proportional to 1,054.07, 1,454.93 and 612.17

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Solution

The fourth proportional to 1,054.07, 1,454.93 and 612.17 is: 844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.07 : 1,454.93 = 612.17 : x
  2. Step 2: Convert to fraction form
    1,054.07/1,454.93 = 612.17/x
  3. Step 3: Cross multiply
    1,054.07x = 1,454.93 × 612.17
  4. Step 4: Simplify right side
    1,054.07x = 890,661.44
  5. Step 5: Solve for x
    x = 890,661.44/1,054.07
  6. Step 6: Final answer
    x = 844.97

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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.