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Finding the Fourth Proportional to 1,053.40, 1,453.20 and 773.50

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Solution

The fourth proportional to 1,053.40, 1,453.20 and 773.50 is: 1,067.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.40 : 1,453.20 = 773.50 : x
  2. Step 2: Convert to fraction form
    1,053.40/1,453.20 = 773.50/x
  3. Step 3: Cross multiply
    1,053.40x = 1,453.20 × 773.50
  4. Step 4: Simplify right side
    1,053.40x = 1,124,050.20
  5. Step 5: Solve for x
    x = 1,124,050.20/1,053.40
  6. Step 6: Final answer
    x = 1,067.07

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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.