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Finding the Fourth Proportional to 776.05, 1,164.54 and 289.08

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Solution

The fourth proportional to 776.05, 1,164.54 and 289.08 is: 433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.05 : 1,164.54 = 289.08 : x
  2. Step 2: Convert to fraction form
    776.05/1,164.54 = 289.08/x
  3. Step 3: Cross multiply
    776.05x = 1,164.54 × 289.08
  4. Step 4: Simplify right side
    776.05x = 336,646.31
  5. Step 5: Solve for x
    x = 336,646.31/776.05
  6. Step 6: Final answer
    x = 433.80

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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.