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Finding the Fourth Proportional to 1,173.06, 1,619.07 and 976.38

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Solution

The fourth proportional to 1,173.06, 1,619.07 and 976.38 is: 1,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.06 : 1,619.07 = 976.38 : x
  2. Step 2: Convert to fraction form
    1,173.06/1,619.07 = 976.38/x
  3. Step 3: Cross multiply
    1,173.06x = 1,619.07 × 976.38
  4. Step 4: Simplify right side
    1,173.06x = 1,580,827.57
  5. Step 5: Solve for x
    x = 1,580,827.57/1,173.06
  6. Step 6: Final answer
    x = 1,347.61

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1.5x scale

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.