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Finding the Fourth Proportional to 772.94, 1,157.12 and 509.69

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Solution

The fourth proportional to 772.94, 1,157.12 and 509.69 is: 763.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.94 : 1,157.12 = 509.69 : x
  2. Step 2: Convert to fraction form
    772.94/1,157.12 = 509.69/x
  3. Step 3: Cross multiply
    772.94x = 1,157.12 × 509.69
  4. Step 4: Simplify right side
    772.94x = 589,774.75
  5. Step 5: Solve for x
    x = 589,774.75/772.94
  6. Step 6: Final answer
    x = 763.03

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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.