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Finding the Fourth Proportional to 1,165.21, 1,748.51 and 435.31

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Solution

The fourth proportional to 1,165.21, 1,748.51 and 435.31 is: 653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.21 : 1,748.51 = 435.31 : x
  2. Step 2: Convert to fraction form
    1,165.21/1,748.51 = 435.31/x
  3. Step 3: Cross multiply
    1,165.21x = 1,748.51 × 435.31
  4. Step 4: Simplify right side
    1,165.21x = 761,132.97
  5. Step 5: Solve for x
    x = 761,132.97/1,165.21
  6. Step 6: Final answer
    x = 653.22

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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.