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Finding the Fourth Proportional to 772.42, 1,158.63 and 285.34

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Solution

The fourth proportional to 772.42, 1,158.63 and 285.34 is: 428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.42 : 1,158.63 = 285.34 : x
  2. Step 2: Convert to fraction form
    772.42/1,158.63 = 285.34/x
  3. Step 3: Cross multiply
    772.42x = 1,158.63 × 285.34
  4. Step 4: Simplify right side
    772.42x = 330,603.48
  5. Step 5: Solve for x
    x = 330,603.48/772.42
  6. Step 6: Final answer
    x = 428.01

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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.