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Finding the Fourth Proportional to 771.02, 1,156.41 and 283.96

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Solution

The fourth proportional to 771.02, 1,156.41 and 283.96 is: 425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.02 : 1,156.41 = 283.96 : x
  2. Step 2: Convert to fraction form
    771.02/1,156.41 = 283.96/x
  3. Step 3: Cross multiply
    771.02x = 1,156.41 × 283.96
  4. Step 4: Simplify right side
    771.02x = 328,368.40
  5. Step 5: Solve for x
    x = 328,368.40/771.02
  6. Step 6: Final answer
    x = 425.89

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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.