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Finding the Fourth Proportional to 771.90, 1,065.29 and 473.15

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Solution

The fourth proportional to 771.90, 1,065.29 and 473.15 is: 652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.90 : 1,065.29 = 473.15 : x
  2. Step 2: Convert to fraction form
    771.90/1,065.29 = 473.15/x
  3. Step 3: Cross multiply
    771.90x = 1,065.29 × 473.15
  4. Step 4: Simplify right side
    771.90x = 504,034.27
  5. Step 5: Solve for x
    x = 504,034.27/771.90
  6. Step 6: Final answer
    x = 652.98

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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.