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Finding the Fourth Proportional to 1,440.64, 1,988.04 and 1,049.32

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Solution

The fourth proportional to 1,440.64, 1,988.04 and 1,049.32 is: 1,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.64 : 1,988.04 = 1,049.32 : x
  2. Step 2: Convert to fraction form
    1,440.64/1,988.04 = 1,049.32/x
  3. Step 3: Cross multiply
    1,440.64x = 1,988.04 × 1,049.32
  4. Step 4: Simplify right side
    1,440.64x = 2,086,090.13
  5. Step 5: Solve for x
    x = 2,086,090.13/1,440.64
  6. Step 6: Final answer
    x = 1,448.03

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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.