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Finding the Fourth Proportional to 740.50, 1,021.52 and 460.64

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Solution

The fourth proportional to 740.50, 1,021.52 and 460.64 is: 635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.50 : 1,021.52 = 460.64 : x
  2. Step 2: Convert to fraction form
    740.50/1,021.52 = 460.64/x
  3. Step 3: Cross multiply
    740.50x = 1,021.52 × 460.64
  4. Step 4: Simplify right side
    740.50x = 470,552.97
  5. Step 5: Solve for x
    x = 470,552.97/740.50
  6. Step 6: Final answer
    x = 635.45

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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.