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Finding the Fourth Proportional to 795.95, 1,187.16 and 692.42

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Solution

The fourth proportional to 795.95, 1,187.16 and 692.42 is: 1,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.95 : 1,187.16 = 692.42 : x
  2. Step 2: Convert to fraction form
    795.95/1,187.16 = 692.42/x
  3. Step 3: Cross multiply
    795.95x = 1,187.16 × 692.42
  4. Step 4: Simplify right side
    795.95x = 822,007.39
  5. Step 5: Solve for x
    x = 822,007.39/795.95
  6. Step 6: Final answer
    x = 1,032.74

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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.