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Finding the Fourth Proportional to 740.40, 1,022.01 and 460.68

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Solution

The fourth proportional to 740.40, 1,022.01 and 460.68 is: 635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.40 : 1,022.01 = 460.68 : x
  2. Step 2: Convert to fraction form
    740.40/1,022.01 = 460.68/x
  3. Step 3: Cross multiply
    740.40x = 1,022.01 × 460.68
  4. Step 4: Simplify right side
    740.40x = 470,819.57
  5. Step 5: Solve for x
    x = 470,819.57/740.40
  6. Step 6: Final answer
    x = 635.90

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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.