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Finding the Fourth Proportional to 1,344.98, 1,855.31 and 846.75

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Solution

The fourth proportional to 1,344.98, 1,855.31 and 846.75 is: 1,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.98 : 1,855.31 = 846.75 : x
  2. Step 2: Convert to fraction form
    1,344.98/1,855.31 = 846.75/x
  3. Step 3: Cross multiply
    1,344.98x = 1,855.31 × 846.75
  4. Step 4: Simplify right side
    1,344.98x = 1,570,979.51
  5. Step 5: Solve for x
    x = 1,570,979.51/1,344.98
  6. Step 6: Final answer
    x = 1,168.04

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Half scale
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Double scale
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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.