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Finding the Fourth Proportional to 771.08, 1,064.14 and 456.53

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Solution

The fourth proportional to 771.08, 1,064.14 and 456.53 is: 630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.08 : 1,064.14 = 456.53 : x
  2. Step 2: Convert to fraction form
    771.08/1,064.14 = 456.53/x
  3. Step 3: Cross multiply
    771.08x = 1,064.14 × 456.53
  4. Step 4: Simplify right side
    771.08x = 485,813.35
  5. Step 5: Solve for x
    x = 485,813.35/771.08
  6. Step 6: Final answer
    x = 630.04

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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.