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Finding the Fourth Proportional to 776.32, 1,164.36 and 289.24

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Solution

The fourth proportional to 776.32, 1,164.36 and 289.24 is: 433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.32 : 1,164.36 = 289.24 : x
  2. Step 2: Convert to fraction form
    776.32/1,164.36 = 289.24/x
  3. Step 3: Cross multiply
    776.32x = 1,164.36 × 289.24
  4. Step 4: Simplify right side
    776.32x = 336,779.49
  5. Step 5: Solve for x
    x = 336,779.49/776.32
  6. Step 6: Final answer
    x = 433.82

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Why These Related Problems?

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