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Finding the Fourth Proportional to 1,194.02, 1,647.01 and 751.16

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Solution

The fourth proportional to 1,194.02, 1,647.01 and 751.16 is: 1,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.02 : 1,647.01 = 751.16 : x
  2. Step 2: Convert to fraction form
    1,194.02/1,647.01 = 751.16/x
  3. Step 3: Cross multiply
    1,194.02x = 1,647.01 × 751.16
  4. Step 4: Simplify right side
    1,194.02x = 1,237,168.03
  5. Step 5: Solve for x
    x = 1,237,168.03/1,194.02
  6. Step 6: Final answer
    x = 1,036.14

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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.