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Finding the Fourth Proportional to 1,166.33, 1,750.19 and 435.87

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Solution

The fourth proportional to 1,166.33, 1,750.19 and 435.87 is: 654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.33 : 1,750.19 = 435.87 : x
  2. Step 2: Convert to fraction form
    1,166.33/1,750.19 = 435.87/x
  3. Step 3: Cross multiply
    1,166.33x = 1,750.19 × 435.87
  4. Step 4: Simplify right side
    1,166.33x = 762,853.14
  5. Step 5: Solve for x
    x = 762,853.14/1,166.33
  6. Step 6: Final answer
    x = 654.06

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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.