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Finding the Fourth Proportional to 1,407.02, 1,942.47 and 847.62

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Solution

The fourth proportional to 1,407.02, 1,942.47 and 847.62 is: 1,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.02 : 1,942.47 = 847.62 : x
  2. Step 2: Convert to fraction form
    1,407.02/1,942.47 = 847.62/x
  3. Step 3: Cross multiply
    1,407.02x = 1,942.47 × 847.62
  4. Step 4: Simplify right side
    1,407.02x = 1,646,476.42
  5. Step 5: Solve for x
    x = 1,646,476.42/1,407.02
  6. Step 6: Final answer
    x = 1,170.19

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Why These Related Problems?

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