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Finding the Fourth Proportional to 1,058.92, 1,588.29 and 289.42

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Solution

The fourth proportional to 1,058.92, 1,588.29 and 289.42 is: 434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.92 : 1,588.29 = 289.42 : x
  2. Step 2: Convert to fraction form
    1,058.92/1,588.29 = 289.42/x
  3. Step 3: Cross multiply
    1,058.92x = 1,588.29 × 289.42
  4. Step 4: Simplify right side
    1,058.92x = 459,682.89
  5. Step 5: Solve for x
    x = 459,682.89/1,058.92
  6. Step 6: Final answer
    x = 434.11

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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.