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Finding the Fourth Proportional to 1,173.50, 1,619.46 and 707.78

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Solution

The fourth proportional to 1,173.50, 1,619.46 and 707.78 is: 976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.50 : 1,619.46 = 707.78 : x
  2. Step 2: Convert to fraction form
    1,173.50/1,619.46 = 707.78/x
  3. Step 3: Cross multiply
    1,173.50x = 1,619.46 × 707.78
  4. Step 4: Simplify right side
    1,173.50x = 1,146,221.40
  5. Step 5: Solve for x
    x = 1,146,221.40/1,173.50
  6. Step 6: Final answer
    x = 976.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.