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Finding the Fourth Proportional to 574.91, 797.00 and 543.72

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Solution

The fourth proportional to 574.91, 797.00 and 543.72 is: 753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.91 : 797.00 = 543.72 : x
  2. Step 2: Convert to fraction form
    574.91/797.00 = 543.72/x
  3. Step 3: Cross multiply
    574.91x = 797.00 × 543.72
  4. Step 4: Simplify right side
    574.91x = 433,345.11
  5. Step 5: Solve for x
    x = 433,345.11/574.91
  6. Step 6: Final answer
    x = 753.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.