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Finding the Fourth Proportional to 1,054.09, 1,454.66 and 581.99

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Solution

The fourth proportional to 1,054.09, 1,454.66 and 581.99 is: 803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.09 : 1,454.66 = 581.99 : x
  2. Step 2: Convert to fraction form
    1,054.09/1,454.66 = 581.99/x
  3. Step 3: Cross multiply
    1,054.09x = 1,454.66 × 581.99
  4. Step 4: Simplify right side
    1,054.09x = 846,594.66
  5. Step 5: Solve for x
    x = 846,594.66/1,054.09
  6. Step 6: Final answer
    x = 803.16

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