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Finding the Fourth Proportional to 1,197.38, 1,785.82 and 1,025.16

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Solution

The fourth proportional to 1,197.38, 1,785.82 and 1,025.16 is: 1,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.38 : 1,785.82 = 1,025.16 : x
  2. Step 2: Convert to fraction form
    1,197.38/1,785.82 = 1,025.16/x
  3. Step 3: Cross multiply
    1,197.38x = 1,785.82 × 1,025.16
  4. Step 4: Simplify right side
    1,197.38x = 1,830,746.78
  5. Step 5: Solve for x
    x = 1,830,746.78/1,197.38
  6. Step 6: Final answer
    x = 1,528.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.