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Finding the Fourth Proportional to 1,166.07, 1,748.89 and 435.52

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Solution

The fourth proportional to 1,166.07, 1,748.89 and 435.52 is: 653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.07 : 1,748.89 = 435.52 : x
  2. Step 2: Convert to fraction form
    1,166.07/1,748.89 = 435.52/x
  3. Step 3: Cross multiply
    1,166.07x = 1,748.89 × 435.52
  4. Step 4: Simplify right side
    1,166.07x = 761,676.57
  5. Step 5: Solve for x
    x = 761,676.57/1,166.07
  6. Step 6: Final answer
    x = 653.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.