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Finding the Fourth Proportional to 740.42, 1,021.22 and 642

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Solution

The fourth proportional to 740.42, 1,021.22 and 642 is: 885.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.42 : 1,021.22 = 642 : x
  2. Step 2: Convert to fraction form
    740.42/1,021.22 = 642/x
  3. Step 3: Cross multiply
    740.42x = 1,021.22 × 642
  4. Step 4: Simplify right side
    740.42x = 655,623.24
  5. Step 5: Solve for x
    x = 655,623.24/740.42
  6. Step 6: Final answer
    x = 885.47

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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.