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Finding the Fourth Proportional to 776.02, 1,164.10 and 289.02

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Solution

The fourth proportional to 776.02, 1,164.10 and 289.02 is: 433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.02 : 1,164.10 = 289.02 : x
  2. Step 2: Convert to fraction form
    776.02/1,164.10 = 289.02/x
  3. Step 3: Cross multiply
    776.02x = 1,164.10 × 289.02
  4. Step 4: Simplify right side
    776.02x = 336,448.18
  5. Step 5: Solve for x
    x = 336,448.18/776.02
  6. Step 6: Final answer
    x = 433.56

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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.