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Finding the Fourth Proportional to 1,058.74, 1,461.09 and 580.22

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Solution

The fourth proportional to 1,058.74, 1,461.09 and 580.22 is: 800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.74 : 1,461.09 = 580.22 : x
  2. Step 2: Convert to fraction form
    1,058.74/1,461.09 = 580.22/x
  3. Step 3: Cross multiply
    1,058.74x = 1,461.09 × 580.22
  4. Step 4: Simplify right side
    1,058.74x = 847,747.14
  5. Step 5: Solve for x
    x = 847,747.14/1,058.74
  6. Step 6: Final answer
    x = 800.72

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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.