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Finding the Fourth Proportional to 740.22, 1,021.08 and 478.23

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Solution

The fourth proportional to 740.22, 1,021.08 and 478.23 is: 659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.22 : 1,021.08 = 478.23 : x
  2. Step 2: Convert to fraction form
    740.22/1,021.08 = 478.23/x
  3. Step 3: Cross multiply
    740.22x = 1,021.08 × 478.23
  4. Step 4: Simplify right side
    740.22x = 488,311.09
  5. Step 5: Solve for x
    x = 488,311.09/740.22
  6. Step 6: Final answer
    x = 659.68

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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.