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Finding the Fourth Proportional to 1,058.98, 1,461.42 and 586.90

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Solution

The fourth proportional to 1,058.98, 1,461.42 and 586.90 is: 809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.98 : 1,461.42 = 586.90 : x
  2. Step 2: Convert to fraction form
    1,058.98/1,461.42 = 586.90/x
  3. Step 3: Cross multiply
    1,058.98x = 1,461.42 × 586.90
  4. Step 4: Simplify right side
    1,058.98x = 857,707.40
  5. Step 5: Solve for x
    x = 857,707.40/1,058.98
  6. Step 6: Final answer
    x = 809.94

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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.