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Finding the Fourth Proportional to 771.12, 1,063.40 and 508.64

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Solution

The fourth proportional to 771.12, 1,063.40 and 508.64 is: 701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.12 : 1,063.40 = 508.64 : x
  2. Step 2: Convert to fraction form
    771.12/1,063.40 = 508.64/x
  3. Step 3: Cross multiply
    771.12x = 1,063.40 × 508.64
  4. Step 4: Simplify right side
    771.12x = 540,887.78
  5. Step 5: Solve for x
    x = 540,887.78/771.12
  6. Step 6: Final answer
    x = 701.43

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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.