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Finding the Fourth Proportional to 894.21, 1,341.32 and 528.80

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Solution

The fourth proportional to 894.21, 1,341.32 and 528.80 is: 793.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.21 : 1,341.32 = 528.80 : x
  2. Step 2: Convert to fraction form
    894.21/1,341.32 = 528.80/x
  3. Step 3: Cross multiply
    894.21x = 1,341.32 × 528.80
  4. Step 4: Simplify right side
    894.21x = 709,280.67
  5. Step 5: Solve for x
    x = 709,280.67/894.21
  6. Step 6: Final answer
    x = 793.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.