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Finding the Fourth Proportional to 1,203.19, 1,659.94 and 705.65

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Solution

The fourth proportional to 1,203.19, 1,659.94 and 705.65 is: 973.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.19 : 1,659.94 = 705.65 : x
  2. Step 2: Convert to fraction form
    1,203.19/1,659.94 = 705.65/x
  3. Step 3: Cross multiply
    1,203.19x = 1,659.94 × 705.65
  4. Step 4: Simplify right side
    1,203.19x = 1,171,330.57
  5. Step 5: Solve for x
    x = 1,171,330.57/1,203.19
  6. Step 6: Final answer
    x = 973.52

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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.