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Finding the Fourth Proportional to 1,048.49, 1,447.07 and 655.31

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Solution

The fourth proportional to 1,048.49, 1,447.07 and 655.31 is: 904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.49 : 1,447.07 = 655.31 : x
  2. Step 2: Convert to fraction form
    1,048.49/1,447.07 = 655.31/x
  3. Step 3: Cross multiply
    1,048.49x = 1,447.07 × 655.31
  4. Step 4: Simplify right side
    1,048.49x = 948,268.93
  5. Step 5: Solve for x
    x = 948,268.93/1,048.49
  6. Step 6: Final answer
    x = 904.42

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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.