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Finding the Fourth Proportional to 1,300.63, 1,795.03 and 859.45

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Solution

The fourth proportional to 1,300.63, 1,795.03 and 859.45 is: 1,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.63 : 1,795.03 = 859.45 : x
  2. Step 2: Convert to fraction form
    1,300.63/1,795.03 = 859.45/x
  3. Step 3: Cross multiply
    1,300.63x = 1,795.03 × 859.45
  4. Step 4: Simplify right side
    1,300.63x = 1,542,738.53
  5. Step 5: Solve for x
    x = 1,542,738.53/1,300.63
  6. Step 6: Final answer
    x = 1,186.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.