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Finding the Fourth Proportional to 1,058.85, 1,461.50 and 639.21

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Solution

The fourth proportional to 1,058.85, 1,461.50 and 639.21 is: 882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.85 : 1,461.50 = 639.21 : x
  2. Step 2: Convert to fraction form
    1,058.85/1,461.50 = 639.21/x
  3. Step 3: Cross multiply
    1,058.85x = 1,461.50 × 639.21
  4. Step 4: Simplify right side
    1,058.85x = 934,202.22
  5. Step 5: Solve for x
    x = 934,202.22/1,058.85
  6. Step 6: Final answer
    x = 882.28

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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.