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Finding the Fourth Proportional to 1,356.12, 2,032.98 and 586.36

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Solution

The fourth proportional to 1,356.12, 2,032.98 and 586.36 is: 879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.12 : 2,032.98 = 586.36 : x
  2. Step 2: Convert to fraction form
    1,356.12/2,032.98 = 586.36/x
  3. Step 3: Cross multiply
    1,356.12x = 2,032.98 × 586.36
  4. Step 4: Simplify right side
    1,356.12x = 1,192,058.15
  5. Step 5: Solve for x
    x = 1,192,058.15/1,356.12
  6. Step 6: Final answer
    x = 879.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.