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Finding the Fourth Proportional to 1,346.04, 1,857.48 and 756.68

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Solution

The fourth proportional to 1,346.04, 1,857.48 and 756.68 is: 1,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.04 : 1,857.48 = 756.68 : x
  2. Step 2: Convert to fraction form
    1,346.04/1,857.48 = 756.68/x
  3. Step 3: Cross multiply
    1,346.04x = 1,857.48 × 756.68
  4. Step 4: Simplify right side
    1,346.04x = 1,405,517.97
  5. Step 5: Solve for x
    x = 1,405,517.97/1,346.04
  6. Step 6: Final answer
    x = 1,044.19

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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.