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Finding the Fourth Proportional to 1,058.71, 1,588.34 and 943.96

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Solution

The fourth proportional to 1,058.71, 1,588.34 and 943.96 is: 1,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.71 : 1,588.34 = 943.96 : x
  2. Step 2: Convert to fraction form
    1,058.71/1,588.34 = 943.96/x
  3. Step 3: Cross multiply
    1,058.71x = 1,588.34 × 943.96
  4. Step 4: Simplify right side
    1,058.71x = 1,499,329.43
  5. Step 5: Solve for x
    x = 1,499,329.43/1,058.71
  6. Step 6: Final answer
    x = 1,416.19

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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.