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Finding the Fourth Proportional to 1,323.01, 1,825.62 and 733.46

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Solution

The fourth proportional to 1,323.01, 1,825.62 and 733.46 is: 1,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.01 : 1,825.62 = 733.46 : x
  2. Step 2: Convert to fraction form
    1,323.01/1,825.62 = 733.46/x
  3. Step 3: Cross multiply
    1,323.01x = 1,825.62 × 733.46
  4. Step 4: Simplify right side
    1,323.01x = 1,339,019.25
  5. Step 5: Solve for x
    x = 1,339,019.25/1,323.01
  6. Step 6: Final answer
    x = 1,012.10

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1.5x scale

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.