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Finding the Fourth Proportional to 1,071.51, 1,478.01 and 822.45

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Solution

The fourth proportional to 1,071.51, 1,478.01 and 822.45 is: 1,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.51 : 1,478.01 = 822.45 : x
  2. Step 2: Convert to fraction form
    1,071.51/1,478.01 = 822.45/x
  3. Step 3: Cross multiply
    1,071.51x = 1,478.01 × 822.45
  4. Step 4: Simplify right side
    1,071.51x = 1,215,589.32
  5. Step 5: Solve for x
    x = 1,215,589.32/1,071.51
  6. Step 6: Final answer
    x = 1,134.46

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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.