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Finding the Fourth Proportional to 776.04, 1,164.30 and 429.24

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Solution

The fourth proportional to 776.04, 1,164.30 and 429.24 is: 643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.04 : 1,164.30 = 429.24 : x
  2. Step 2: Convert to fraction form
    776.04/1,164.30 = 429.24/x
  3. Step 3: Cross multiply
    776.04x = 1,164.30 × 429.24
  4. Step 4: Simplify right side
    776.04x = 499,764.13
  5. Step 5: Solve for x
    x = 499,764.13/776.04
  6. Step 6: Final answer
    x = 643.99

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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.