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Finding the Fourth Proportional to 764.21, 1,054.07 and 469.64

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Solution

The fourth proportional to 764.21, 1,054.07 and 469.64 is: 647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.21 : 1,054.07 = 469.64 : x
  2. Step 2: Convert to fraction form
    764.21/1,054.07 = 469.64/x
  3. Step 3: Cross multiply
    764.21x = 1,054.07 × 469.64
  4. Step 4: Simplify right side
    764.21x = 495,033.43
  5. Step 5: Solve for x
    x = 495,033.43/764.21
  6. Step 6: Final answer
    x = 647.77

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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.