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Finding the Fourth Proportional to 772.24, 1,158.68 and 429.84

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Solution

The fourth proportional to 772.24, 1,158.68 and 429.84 is: 644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.24 : 1,158.68 = 429.84 : x
  2. Step 2: Convert to fraction form
    772.24/1,158.68 = 429.84/x
  3. Step 3: Cross multiply
    772.24x = 1,158.68 × 429.84
  4. Step 4: Simplify right side
    772.24x = 498,047.01
  5. Step 5: Solve for x
    x = 498,047.01/772.24
  6. Step 6: Final answer
    x = 644.94

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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.