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Finding the Fourth Proportional to 1,065.44, 1,461.48 and 1,056.20

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Solution

The fourth proportional to 1,065.44, 1,461.48 and 1,056.20 is: 1,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.44 : 1,461.48 = 1,056.20 : x
  2. Step 2: Convert to fraction form
    1,065.44/1,461.48 = 1,056.20/x
  3. Step 3: Cross multiply
    1,065.44x = 1,461.48 × 1,056.20
  4. Step 4: Simplify right side
    1,065.44x = 1,543,615.18
  5. Step 5: Solve for x
    x = 1,543,615.18/1,065.44
  6. Step 6: Final answer
    x = 1,448.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.