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Finding the Fourth Proportional to 1,173.94, 1,619.73 and 707.86

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Solution

The fourth proportional to 1,173.94, 1,619.73 and 707.86 is: 976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.94 : 1,619.73 = 707.86 : x
  2. Step 2: Convert to fraction form
    1,173.94/1,619.73 = 707.86/x
  3. Step 3: Cross multiply
    1,173.94x = 1,619.73 × 707.86
  4. Step 4: Simplify right side
    1,173.94x = 1,146,542.08
  5. Step 5: Solve for x
    x = 1,146,542.08/1,173.94
  6. Step 6: Final answer
    x = 976.66

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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.