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Finding the Fourth Proportional to 1,346.52, 1,858.20 and 757.06

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Solution

The fourth proportional to 1,346.52, 1,858.20 and 757.06 is: 1,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.52 : 1,858.20 = 757.06 : x
  2. Step 2: Convert to fraction form
    1,346.52/1,858.20 = 757.06/x
  3. Step 3: Cross multiply
    1,346.52x = 1,858.20 × 757.06
  4. Step 4: Simplify right side
    1,346.52x = 1,406,768.89
  5. Step 5: Solve for x
    x = 1,406,768.89/1,346.52
  6. Step 6: Final answer
    x = 1,044.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.