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Finding the Fourth Proportional to 1,058.94, 1,587.87 and 481.50

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Solution

The fourth proportional to 1,058.94, 1,587.87 and 481.50 is: 722.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.94 : 1,587.87 = 481.50 : x
  2. Step 2: Convert to fraction form
    1,058.94/1,587.87 = 481.50/x
  3. Step 3: Cross multiply
    1,058.94x = 1,587.87 × 481.50
  4. Step 4: Simplify right side
    1,058.94x = 764,559.41
  5. Step 5: Solve for x
    x = 764,559.41/1,058.94
  6. Step 6: Final answer
    x = 722.00

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Why These Related Problems?

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