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Finding the Fourth Proportional to 932.78, 1,405.49 and 774.02

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Solution

The fourth proportional to 932.78, 1,405.49 and 774.02 is: 1,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.78 : 1,405.49 = 774.02 : x
  2. Step 2: Convert to fraction form
    932.78/1,405.49 = 774.02/x
  3. Step 3: Cross multiply
    932.78x = 1,405.49 × 774.02
  4. Step 4: Simplify right side
    932.78x = 1,087,877.37
  5. Step 5: Solve for x
    x = 1,087,877.37/932.78
  6. Step 6: Final answer
    x = 1,166.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.