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Finding the Fourth Proportional to 728.64, 1,091.16 and 543.10

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Solution

The fourth proportional to 728.64, 1,091.16 and 543.10 is: 813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.64 : 1,091.16 = 543.10 : x
  2. Step 2: Convert to fraction form
    728.64/1,091.16 = 543.10/x
  3. Step 3: Cross multiply
    728.64x = 1,091.16 × 543.10
  4. Step 4: Simplify right side
    728.64x = 592,609.00
  5. Step 5: Solve for x
    x = 592,609.00/728.64
  6. Step 6: Final answer
    x = 813.31

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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.