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Finding the Fourth Proportional to 740.85, 1,021.85 and 600.96

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Solution

The fourth proportional to 740.85, 1,021.85 and 600.96 is: 828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.85 : 1,021.85 = 600.96 : x
  2. Step 2: Convert to fraction form
    740.85/1,021.85 = 600.96/x
  3. Step 3: Cross multiply
    740.85x = 1,021.85 × 600.96
  4. Step 4: Simplify right side
    740.85x = 614,094.06
  5. Step 5: Solve for x
    x = 614,094.06/740.85
  6. Step 6: Final answer
    x = 828.91

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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.