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Finding the Fourth Proportional to 783.77, 1,170.23 and 775.98

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Solution

The fourth proportional to 783.77, 1,170.23 and 775.98 is: 1,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.77 : 1,170.23 = 775.98 : x
  2. Step 2: Convert to fraction form
    783.77/1,170.23 = 775.98/x
  3. Step 3: Cross multiply
    783.77x = 1,170.23 × 775.98
  4. Step 4: Simplify right side
    783.77x = 908,071.20
  5. Step 5: Solve for x
    x = 908,071.20/783.77
  6. Step 6: Final answer
    x = 1,158.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.