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Finding the Fourth Proportional to 771.68, 1,157.93 and 464.15

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Solution

The fourth proportional to 771.68, 1,157.93 and 464.15 is: 696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.68 : 1,157.93 = 464.15 : x
  2. Step 2: Convert to fraction form
    771.68/1,157.93 = 464.15/x
  3. Step 3: Cross multiply
    771.68x = 1,157.93 × 464.15
  4. Step 4: Simplify right side
    771.68x = 537,445.10
  5. Step 5: Solve for x
    x = 537,445.10/771.68
  6. Step 6: Final answer
    x = 696.47

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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.