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Finding the Fourth Proportional to 771.02, 1,155.06 and 477.66

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Solution

The fourth proportional to 771.02, 1,155.06 and 477.66 is: 715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.02 : 1,155.06 = 477.66 : x
  2. Step 2: Convert to fraction form
    771.02/1,155.06 = 477.66/x
  3. Step 3: Cross multiply
    771.02x = 1,155.06 × 477.66
  4. Step 4: Simplify right side
    771.02x = 551,725.96
  5. Step 5: Solve for x
    x = 551,725.96/771.02
  6. Step 6: Final answer
    x = 715.58

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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.