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Finding the Fourth Proportional to 776.01, 1,164.53 and 429.60

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Solution

The fourth proportional to 776.01, 1,164.53 and 429.60 is: 644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.01 : 1,164.53 = 429.60 : x
  2. Step 2: Convert to fraction form
    776.01/1,164.53 = 429.60/x
  3. Step 3: Cross multiply
    776.01x = 1,164.53 × 429.60
  4. Step 4: Simplify right side
    776.01x = 500,282.09
  5. Step 5: Solve for x
    x = 500,282.09/776.01
  6. Step 6: Final answer
    x = 644.69

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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.