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Finding the Fourth Proportional to 1,300.21, 1,794.31 and 710.80

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Solution

The fourth proportional to 1,300.21, 1,794.31 and 710.80 is: 980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.21 : 1,794.31 = 710.80 : x
  2. Step 2: Convert to fraction form
    1,300.21/1,794.31 = 710.80/x
  3. Step 3: Cross multiply
    1,300.21x = 1,794.31 × 710.80
  4. Step 4: Simplify right side
    1,300.21x = 1,275,389.29
  5. Step 5: Solve for x
    x = 1,275,389.29/1,300.21
  6. Step 6: Final answer
    x = 980.91

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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.