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Finding the Fourth Proportional to 1,346.40, 1,857.96 and 757.17

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Solution

The fourth proportional to 1,346.40, 1,857.96 and 757.17 is: 1,044.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.40 : 1,857.96 = 757.17 : x
  2. Step 2: Convert to fraction form
    1,346.40/1,857.96 = 757.17/x
  3. Step 3: Cross multiply
    1,346.40x = 1,857.96 × 757.17
  4. Step 4: Simplify right side
    1,346.40x = 1,406,791.57
  5. Step 5: Solve for x
    x = 1,406,791.57/1,346.40
  6. Step 6: Final answer
    x = 1,044.85

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1.5x scale

Why These Related Problems?

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