Home / 1,178.61-1,766.43-1,032

Finding the Fourth Proportional to 1,178.61, 1,766.43 and 1,032

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Solution

The fourth proportional to 1,178.61, 1,766.43 and 1,032 is: 1,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.61 : 1,766.43 = 1,032 : x
  2. Step 2: Convert to fraction form
    1,178.61/1,766.43 = 1,032/x
  3. Step 3: Cross multiply
    1,178.61x = 1,766.43 × 1,032
  4. Step 4: Simplify right side
    1,178.61x = 1,822,955.76
  5. Step 5: Solve for x
    x = 1,822,955.76/1,178.61
  6. Step 6: Final answer
    x = 1,546.70

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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.