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Finding the Fourth Proportional to 921, 1,271.04 and 517.27

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Solution

The fourth proportional to 921, 1,271.04 and 517.27 is: 713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    921 : 1,271.04 = 517.27 : x
  2. Step 2: Convert to fraction form
    921/1,271.04 = 517.27/x
  3. Step 3: Cross multiply
    921x = 1,271.04 × 517.27
  4. Step 4: Simplify right side
    921x = 657,464.51
  5. Step 5: Solve for x
    x = 657,464.51/921
  6. Step 6: Final answer
    x = 713.86

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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.