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Finding the Fourth Proportional to 776.84, 1,165.20 and 430.34

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Solution

The fourth proportional to 776.84, 1,165.20 and 430.34 is: 645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.84 : 1,165.20 = 430.34 : x
  2. Step 2: Convert to fraction form
    776.84/1,165.20 = 430.34/x
  3. Step 3: Cross multiply
    776.84x = 1,165.20 × 430.34
  4. Step 4: Simplify right side
    776.84x = 501,432.17
  5. Step 5: Solve for x
    x = 501,432.17/776.84
  6. Step 6: Final answer
    x = 645.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.