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Finding the Fourth Proportional to 1,203.01, 1,659.96 and 705.58

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Solution

The fourth proportional to 1,203.01, 1,659.96 and 705.58 is: 973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.01 : 1,659.96 = 705.58 : x
  2. Step 2: Convert to fraction form
    1,203.01/1,659.96 = 705.58/x
  3. Step 3: Cross multiply
    1,203.01x = 1,659.96 × 705.58
  4. Step 4: Simplify right side
    1,203.01x = 1,171,230.43
  5. Step 5: Solve for x
    x = 1,171,230.43/1,203.01
  6. Step 6: Final answer
    x = 973.59

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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.