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Finding the Fourth Proportional to 962.33, 1,328.46 and 563.93

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Solution

The fourth proportional to 962.33, 1,328.46 and 563.93 is: 778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.33 : 1,328.46 = 563.93 : x
  2. Step 2: Convert to fraction form
    962.33/1,328.46 = 563.93/x
  3. Step 3: Cross multiply
    962.33x = 1,328.46 × 563.93
  4. Step 4: Simplify right side
    962.33x = 749,162.15
  5. Step 5: Solve for x
    x = 749,162.15/962.33
  6. Step 6: Final answer
    x = 778.49

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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.