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Finding the Fourth Proportional to 1,054.27, 1,581.60 and 438.03

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Solution

The fourth proportional to 1,054.27, 1,581.60 and 438.03 is: 657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.27 : 1,581.60 = 438.03 : x
  2. Step 2: Convert to fraction form
    1,054.27/1,581.60 = 438.03/x
  3. Step 3: Cross multiply
    1,054.27x = 1,581.60 × 438.03
  4. Step 4: Simplify right side
    1,054.27x = 692,788.25
  5. Step 5: Solve for x
    x = 692,788.25/1,054.27
  6. Step 6: Final answer
    x = 657.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.