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Finding the Fourth Proportional to 772.58, 1,157.93 and 407.14

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Solution

The fourth proportional to 772.58, 1,157.93 and 407.14 is: 610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.58 : 1,157.93 = 407.14 : x
  2. Step 2: Convert to fraction form
    772.58/1,157.93 = 407.14/x
  3. Step 3: Cross multiply
    772.58x = 1,157.93 × 407.14
  4. Step 4: Simplify right side
    772.58x = 471,431.79
  5. Step 5: Solve for x
    x = 471,431.79/772.58
  6. Step 6: Final answer
    x = 610.20

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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.