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Finding the Fourth Proportional to 1,104.32, 1,653.19 and 713.56

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Solution

The fourth proportional to 1,104.32, 1,653.19 and 713.56 is: 1,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.32 : 1,653.19 = 713.56 : x
  2. Step 2: Convert to fraction form
    1,104.32/1,653.19 = 713.56/x
  3. Step 3: Cross multiply
    1,104.32x = 1,653.19 × 713.56
  4. Step 4: Simplify right side
    1,104.32x = 1,179,650.26
  5. Step 5: Solve for x
    x = 1,179,650.26/1,104.32
  6. Step 6: Final answer
    x = 1,068.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.