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Finding the Fourth Proportional to 1,193.19, 1,788.73 and 577.32

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Solution

The fourth proportional to 1,193.19, 1,788.73 and 577.32 is: 865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.19 : 1,788.73 = 577.32 : x
  2. Step 2: Convert to fraction form
    1,193.19/1,788.73 = 577.32/x
  3. Step 3: Cross multiply
    1,193.19x = 1,788.73 × 577.32
  4. Step 4: Simplify right side
    1,193.19x = 1,032,669.60
  5. Step 5: Solve for x
    x = 1,032,669.60/1,193.19
  6. Step 6: Final answer
    x = 865.47

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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.