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Finding the Fourth Proportional to 771.90, 1,065.32 and 473.18

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Solution

The fourth proportional to 771.90, 1,065.32 and 473.18 is: 653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.90 : 1,065.32 = 473.18 : x
  2. Step 2: Convert to fraction form
    771.90/1,065.32 = 473.18/x
  3. Step 3: Cross multiply
    771.90x = 1,065.32 × 473.18
  4. Step 4: Simplify right side
    771.90x = 504,082.20
  5. Step 5: Solve for x
    x = 504,082.20/771.90
  6. Step 6: Final answer
    x = 653.04

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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.