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Finding the Fourth Proportional to 1,407.10, 1,942.32 and 847.60

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Solution

The fourth proportional to 1,407.10, 1,942.32 and 847.60 is: 1,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.10 : 1,942.32 = 847.60 : x
  2. Step 2: Convert to fraction form
    1,407.10/1,942.32 = 847.60/x
  3. Step 3: Cross multiply
    1,407.10x = 1,942.32 × 847.60
  4. Step 4: Simplify right side
    1,407.10x = 1,646,310.43
  5. Step 5: Solve for x
    x = 1,646,310.43/1,407.10
  6. Step 6: Final answer
    x = 1,170.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.