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Finding the Fourth Proportional to 1,165.79, 1,748.70 and 435.21

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Solution

The fourth proportional to 1,165.79, 1,748.70 and 435.21 is: 652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.79 : 1,748.70 = 435.21 : x
  2. Step 2: Convert to fraction form
    1,165.79/1,748.70 = 435.21/x
  3. Step 3: Cross multiply
    1,165.79x = 1,748.70 × 435.21
  4. Step 4: Simplify right side
    1,165.79x = 761,051.73
  5. Step 5: Solve for x
    x = 761,051.73/1,165.79
  6. Step 6: Final answer
    x = 652.82

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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.