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Finding the Fourth Proportional to 1,111.83, 1,665.59 and 597.75

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Solution

The fourth proportional to 1,111.83, 1,665.59 and 597.75 is: 895.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.83 : 1,665.59 = 597.75 : x
  2. Step 2: Convert to fraction form
    1,111.83/1,665.59 = 597.75/x
  3. Step 3: Cross multiply
    1,111.83x = 1,665.59 × 597.75
  4. Step 4: Simplify right side
    1,111.83x = 995,603.43
  5. Step 5: Solve for x
    x = 995,603.43/1,111.83
  6. Step 6: Final answer
    x = 895.46

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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.