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Finding the Fourth Proportional to 1,197.10, 1,795.54 and 734.64

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Solution

The fourth proportional to 1,197.10, 1,795.54 and 734.64 is: 1,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.10 : 1,795.54 = 734.64 : x
  2. Step 2: Convert to fraction form
    1,197.10/1,795.54 = 734.64/x
  3. Step 3: Cross multiply
    1,197.10x = 1,795.54 × 734.64
  4. Step 4: Simplify right side
    1,197.10x = 1,319,085.53
  5. Step 5: Solve for x
    x = 1,319,085.53/1,197.10
  6. Step 6: Final answer
    x = 1,101.90

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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.