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Finding the Fourth Proportional to 1,113.21, 1,536.71 and 804.33

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Solution

The fourth proportional to 1,113.21, 1,536.71 and 804.33 is: 1,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.21 : 1,536.71 = 804.33 : x
  2. Step 2: Convert to fraction form
    1,113.21/1,536.71 = 804.33/x
  3. Step 3: Cross multiply
    1,113.21x = 1,536.71 × 804.33
  4. Step 4: Simplify right side
    1,113.21x = 1,236,017.93
  5. Step 5: Solve for x
    x = 1,236,017.93/1,113.21
  6. Step 6: Final answer
    x = 1,110.32

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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.