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Finding the Fourth Proportional to 1,415.20, 1,955.64 and 1,065.28

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Solution

The fourth proportional to 1,415.20, 1,955.64 and 1,065.28 is: 1,472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.20 : 1,955.64 = 1,065.28 : x
  2. Step 2: Convert to fraction form
    1,415.20/1,955.64 = 1,065.28/x
  3. Step 3: Cross multiply
    1,415.20x = 1,955.64 × 1,065.28
  4. Step 4: Simplify right side
    1,415.20x = 2,083,304.18
  5. Step 5: Solve for x
    x = 2,083,304.18/1,415.20
  6. Step 6: Final answer
    x = 1,472.09

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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.