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Finding the Fourth Proportional to 740.53, 1,021.83 and 441.70

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Solution

The fourth proportional to 740.53, 1,021.83 and 441.70 is: 609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.53 : 1,021.83 = 441.70 : x
  2. Step 2: Convert to fraction form
    740.53/1,021.83 = 441.70/x
  3. Step 3: Cross multiply
    740.53x = 1,021.83 × 441.70
  4. Step 4: Simplify right side
    740.53x = 451,342.31
  5. Step 5: Solve for x
    x = 451,342.31/740.53
  6. Step 6: Final answer
    x = 609.49

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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.