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Finding the Fourth Proportional to 1,120.01, 1,678.29 and 600.08

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Solution

The fourth proportional to 1,120.01, 1,678.29 and 600.08 is: 899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.01 : 1,678.29 = 600.08 : x
  2. Step 2: Convert to fraction form
    1,120.01/1,678.29 = 600.08/x
  3. Step 3: Cross multiply
    1,120.01x = 1,678.29 × 600.08
  4. Step 4: Simplify right side
    1,120.01x = 1,007,108.26
  5. Step 5: Solve for x
    x = 1,007,108.26/1,120.01
  6. Step 6: Final answer
    x = 899.20

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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.