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Finding the Fourth Proportional to 772.02, 1,157.16 and 406.02

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Solution

The fourth proportional to 772.02, 1,157.16 and 406.02 is: 608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.02 : 1,157.16 = 406.02 : x
  2. Step 2: Convert to fraction form
    772.02/1,157.16 = 406.02/x
  3. Step 3: Cross multiply
    772.02x = 1,157.16 × 406.02
  4. Step 4: Simplify right side
    772.02x = 469,830.10
  5. Step 5: Solve for x
    x = 469,830.10/772.02
  6. Step 6: Final answer
    x = 608.57

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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.