Home / 1,178.74-1,772.16-904.96

Finding the Fourth Proportional to 1,178.74, 1,772.16 and 904.96

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Solution

The fourth proportional to 1,178.74, 1,772.16 and 904.96 is: 1,360.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.74 : 1,772.16 = 904.96 : x
  2. Step 2: Convert to fraction form
    1,178.74/1,772.16 = 904.96/x
  3. Step 3: Cross multiply
    1,178.74x = 1,772.16 × 904.96
  4. Step 4: Simplify right side
    1,178.74x = 1,603,733.91
  5. Step 5: Solve for x
    x = 1,603,733.91/1,178.74
  6. Step 6: Final answer
    x = 1,360.55

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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.