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Finding the Fourth Proportional to 1,346.32, 1,857.74 and 786.75

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Solution

The fourth proportional to 1,346.32, 1,857.74 and 786.75 is: 1,085.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.32 : 1,857.74 = 786.75 : x
  2. Step 2: Convert to fraction form
    1,346.32/1,857.74 = 786.75/x
  3. Step 3: Cross multiply
    1,346.32x = 1,857.74 × 786.75
  4. Step 4: Simplify right side
    1,346.32x = 1,461,576.95
  5. Step 5: Solve for x
    x = 1,461,576.95/1,346.32
  6. Step 6: Final answer
    x = 1,085.61

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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.