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Finding the Fourth Proportional to 785.16, 1,177.98 and 770.76

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Solution

The fourth proportional to 785.16, 1,177.98 and 770.76 is: 1,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.16 : 1,177.98 = 770.76 : x
  2. Step 2: Convert to fraction form
    785.16/1,177.98 = 770.76/x
  3. Step 3: Cross multiply
    785.16x = 1,177.98 × 770.76
  4. Step 4: Simplify right side
    785.16x = 907,939.86
  5. Step 5: Solve for x
    x = 907,939.86/785.16
  6. Step 6: Final answer
    x = 1,156.38

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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.