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Finding the Fourth Proportional to 1,032.08, 1,543.25 and 771.26

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Solution

The fourth proportional to 1,032.08, 1,543.25 and 771.26 is: 1,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.08 : 1,543.25 = 771.26 : x
  2. Step 2: Convert to fraction form
    1,032.08/1,543.25 = 771.26/x
  3. Step 3: Cross multiply
    1,032.08x = 1,543.25 × 771.26
  4. Step 4: Simplify right side
    1,032.08x = 1,190,241.21
  5. Step 5: Solve for x
    x = 1,190,241.21/1,032.08
  6. Step 6: Final answer
    x = 1,153.25

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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.