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Finding the Fourth Proportional to 962.81, 1,328.19 and 564.21

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Solution

The fourth proportional to 962.81, 1,328.19 and 564.21 is: 778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.81 : 1,328.19 = 564.21 : x
  2. Step 2: Convert to fraction form
    962.81/1,328.19 = 564.21/x
  3. Step 3: Cross multiply
    962.81x = 1,328.19 × 564.21
  4. Step 4: Simplify right side
    962.81x = 749,375.96
  5. Step 5: Solve for x
    x = 749,375.96/962.81
  6. Step 6: Final answer
    x = 778.32

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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.