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Finding the Fourth Proportional to 947.37, 1,418.96 and 581.05

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Solution

The fourth proportional to 947.37, 1,418.96 and 581.05 is: 870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.37 : 1,418.96 = 581.05 : x
  2. Step 2: Convert to fraction form
    947.37/1,418.96 = 581.05/x
  3. Step 3: Cross multiply
    947.37x = 1,418.96 × 581.05
  4. Step 4: Simplify right side
    947.37x = 824,486.71
  5. Step 5: Solve for x
    x = 824,486.71/947.37
  6. Step 6: Final answer
    x = 870.29

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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.