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Finding the Fourth Proportional to 1,448.82, 1,999.35 and 785.63

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Solution

The fourth proportional to 1,448.82, 1,999.35 and 785.63 is: 1,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.82 : 1,999.35 = 785.63 : x
  2. Step 2: Convert to fraction form
    1,448.82/1,999.35 = 785.63/x
  3. Step 3: Cross multiply
    1,448.82x = 1,999.35 × 785.63
  4. Step 4: Simplify right side
    1,448.82x = 1,570,754.34
  5. Step 5: Solve for x
    x = 1,570,754.34/1,448.82
  6. Step 6: Final answer
    x = 1,084.16

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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.