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Finding the Fourth Proportional to 1,083.60, 1,625.88 and 390.48

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Solution

The fourth proportional to 1,083.60, 1,625.88 and 390.48 is: 585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.60 : 1,625.88 = 390.48 : x
  2. Step 2: Convert to fraction form
    1,083.60/1,625.88 = 390.48/x
  3. Step 3: Cross multiply
    1,083.60x = 1,625.88 × 390.48
  4. Step 4: Simplify right side
    1,083.60x = 634,873.62
  5. Step 5: Solve for x
    x = 634,873.62/1,083.60
  6. Step 6: Final answer
    x = 585.89

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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.