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Finding the Fourth Proportional to 1,111.12, 1,665.16 and 649.01

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Solution

The fourth proportional to 1,111.12, 1,665.16 and 649.01 is: 972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.12 : 1,665.16 = 649.01 : x
  2. Step 2: Convert to fraction form
    1,111.12/1,665.16 = 649.01/x
  3. Step 3: Cross multiply
    1,111.12x = 1,665.16 × 649.01
  4. Step 4: Simplify right side
    1,111.12x = 1,080,708.03
  5. Step 5: Solve for x
    x = 1,080,708.03/1,111.12
  6. Step 6: Final answer
    x = 972.63

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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.