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Finding the Fourth Proportional to 1,054.23, 1,454.77 and 612.06

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Solution

The fourth proportional to 1,054.23, 1,454.77 and 612.06 is: 844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.23 : 1,454.77 = 612.06 : x
  2. Step 2: Convert to fraction form
    1,054.23/1,454.77 = 612.06/x
  3. Step 3: Cross multiply
    1,054.23x = 1,454.77 × 612.06
  4. Step 4: Simplify right side
    1,054.23x = 890,406.53
  5. Step 5: Solve for x
    x = 890,406.53/1,054.23
  6. Step 6: Final answer
    x = 844.60

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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.