Home / 1,166.19-1,749.58-435.77

Finding the Fourth Proportional to 1,166.19, 1,749.58 and 435.77

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Solution

The fourth proportional to 1,166.19, 1,749.58 and 435.77 is: 653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.19 : 1,749.58 = 435.77 : x
  2. Step 2: Convert to fraction form
    1,166.19/1,749.58 = 435.77/x
  3. Step 3: Cross multiply
    1,166.19x = 1,749.58 × 435.77
  4. Step 4: Simplify right side
    1,166.19x = 762,414.48
  5. Step 5: Solve for x
    x = 762,414.48/1,166.19
  6. Step 6: Final answer
    x = 653.77

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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.