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Finding the Fourth Proportional to 771.38, 1,064.50 and 509.45

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Solution

The fourth proportional to 771.38, 1,064.50 and 509.45 is: 703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.38 : 1,064.50 = 509.45 : x
  2. Step 2: Convert to fraction form
    771.38/1,064.50 = 509.45/x
  3. Step 3: Cross multiply
    771.38x = 1,064.50 × 509.45
  4. Step 4: Simplify right side
    771.38x = 542,302.93
  5. Step 5: Solve for x
    x = 542,302.93/771.38
  6. Step 6: Final answer
    x = 703.03

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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.