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Finding the Fourth Proportional to 1,071.58, 1,596.17 and 1,058.80

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Solution

The fourth proportional to 1,071.58, 1,596.17 and 1,058.80 is: 1,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.58 : 1,596.17 = 1,058.80 : x
  2. Step 2: Convert to fraction form
    1,071.58/1,596.17 = 1,058.80/x
  3. Step 3: Cross multiply
    1,071.58x = 1,596.17 × 1,058.80
  4. Step 4: Simplify right side
    1,071.58x = 1,690,024.80
  5. Step 5: Solve for x
    x = 1,690,024.80/1,071.58
  6. Step 6: Final answer
    x = 1,577.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.