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Finding the Fourth Proportional to 1,055.81, 1,583.65 and 286.25

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Solution

The fourth proportional to 1,055.81, 1,583.65 and 286.25 is: 429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.81 : 1,583.65 = 286.25 : x
  2. Step 2: Convert to fraction form
    1,055.81/1,583.65 = 286.25/x
  3. Step 3: Cross multiply
    1,055.81x = 1,583.65 × 286.25
  4. Step 4: Simplify right side
    1,055.81x = 453,319.81
  5. Step 5: Solve for x
    x = 453,319.81/1,055.81
  6. Step 6: Final answer
    x = 429.36

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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.