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Finding the Fourth Proportional to 1,166.27, 1,748.19 and 435.53

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Solution

The fourth proportional to 1,166.27, 1,748.19 and 435.53 is: 652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.27 : 1,748.19 = 435.53 : x
  2. Step 2: Convert to fraction form
    1,166.27/1,748.19 = 435.53/x
  3. Step 3: Cross multiply
    1,166.27x = 1,748.19 × 435.53
  4. Step 4: Simplify right side
    1,166.27x = 761,389.19
  5. Step 5: Solve for x
    x = 761,389.19/1,166.27
  6. Step 6: Final answer
    x = 652.84

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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.