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Finding the Fourth Proportional to 920.36, 1,378.52 and 713.31

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Solution

The fourth proportional to 920.36, 1,378.52 and 713.31 is: 1,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.36 : 1,378.52 = 713.31 : x
  2. Step 2: Convert to fraction form
    920.36/1,378.52 = 713.31/x
  3. Step 3: Cross multiply
    920.36x = 1,378.52 × 713.31
  4. Step 4: Simplify right side
    920.36x = 983,306.04
  5. Step 5: Solve for x
    x = 983,306.04/920.36
  6. Step 6: Final answer
    x = 1,068.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.