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Finding the Fourth Proportional to 1,166.15, 1,748.75 and 435.77

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Solution

The fourth proportional to 1,166.15, 1,748.75 and 435.77 is: 653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.15 : 1,748.75 = 435.77 : x
  2. Step 2: Convert to fraction form
    1,166.15/1,748.75 = 435.77/x
  3. Step 3: Cross multiply
    1,166.15x = 1,748.75 × 435.77
  4. Step 4: Simplify right side
    1,166.15x = 762,054.98
  5. Step 5: Solve for x
    x = 762,054.98/1,166.15
  6. Step 6: Final answer
    x = 653.48

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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.