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Finding the Fourth Proportional to 771.71, 1,064.86 and 456.98

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Solution

The fourth proportional to 771.71, 1,064.86 and 456.98 is: 630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.71 : 1,064.86 = 456.98 : x
  2. Step 2: Convert to fraction form
    771.71/1,064.86 = 456.98/x
  3. Step 3: Cross multiply
    771.71x = 1,064.86 × 456.98
  4. Step 4: Simplify right side
    771.71x = 486,613.26
  5. Step 5: Solve for x
    x = 486,613.26/771.71
  6. Step 6: Final answer
    x = 630.57

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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.