Home / 1,176.90-1,624.20-783.66

Finding the Fourth Proportional to 1,176.90, 1,624.20 and 783.66

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Solution

The fourth proportional to 1,176.90, 1,624.20 and 783.66 is: 1,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.90 : 1,624.20 = 783.66 : x
  2. Step 2: Convert to fraction form
    1,176.90/1,624.20 = 783.66/x
  3. Step 3: Cross multiply
    1,176.90x = 1,624.20 × 783.66
  4. Step 4: Simplify right side
    1,176.90x = 1,272,820.57
  5. Step 5: Solve for x
    x = 1,272,820.57/1,176.90
  6. Step 6: Final answer
    x = 1,081.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.