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Finding the Fourth Proportional to 740.37, 1,021.71 and 460.71

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Solution

The fourth proportional to 740.37, 1,021.71 and 460.71 is: 635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.37 : 1,021.71 = 460.71 : x
  2. Step 2: Convert to fraction form
    740.37/1,021.71 = 460.71/x
  3. Step 3: Cross multiply
    740.37x = 1,021.71 × 460.71
  4. Step 4: Simplify right side
    740.37x = 470,712.01
  5. Step 5: Solve for x
    x = 470,712.01/740.37
  6. Step 6: Final answer
    x = 635.78

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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.