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Finding the Fourth Proportional to 1,021.05, 1,409.25 and 648.47

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Solution

The fourth proportional to 1,021.05, 1,409.25 and 648.47 is: 895.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.05 : 1,409.25 = 648.47 : x
  2. Step 2: Convert to fraction form
    1,021.05/1,409.25 = 648.47/x
  3. Step 3: Cross multiply
    1,021.05x = 1,409.25 × 648.47
  4. Step 4: Simplify right side
    1,021.05x = 913,849.30
  5. Step 5: Solve for x
    x = 913,849.30/1,021.05
  6. Step 6: Final answer
    x = 895.01

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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.