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Finding the Fourth Proportional to 1,408.59, 1,941.53 and 1,058.67

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Solution

The fourth proportional to 1,408.59, 1,941.53 and 1,058.67 is: 1,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.59 : 1,941.53 = 1,058.67 : x
  2. Step 2: Convert to fraction form
    1,408.59/1,941.53 = 1,058.67/x
  3. Step 3: Cross multiply
    1,408.59x = 1,941.53 × 1,058.67
  4. Step 4: Simplify right side
    1,408.59x = 2,055,434.27
  5. Step 5: Solve for x
    x = 2,055,434.27/1,408.59
  6. Step 6: Final answer
    x = 1,459.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.