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Finding the Fourth Proportional to 771.32, 1,154.63 and 623.70

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Solution

The fourth proportional to 771.32, 1,154.63 and 623.70 is: 933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.32 : 1,154.63 = 623.70 : x
  2. Step 2: Convert to fraction form
    771.32/1,154.63 = 623.70/x
  3. Step 3: Cross multiply
    771.32x = 1,154.63 × 623.70
  4. Step 4: Simplify right side
    771.32x = 720,142.54
  5. Step 5: Solve for x
    x = 720,142.54/771.32
  6. Step 6: Final answer
    x = 933.65

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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.