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Finding the Fourth Proportional to 1,353.85, 1,868.19 and 756.33

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Solution

The fourth proportional to 1,353.85, 1,868.19 and 756.33 is: 1,043.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.85 : 1,868.19 = 756.33 : x
  2. Step 2: Convert to fraction form
    1,353.85/1,868.19 = 756.33/x
  3. Step 3: Cross multiply
    1,353.85x = 1,868.19 × 756.33
  4. Step 4: Simplify right side
    1,353.85x = 1,412,968.14
  5. Step 5: Solve for x
    x = 1,412,968.14/1,353.85
  6. Step 6: Final answer
    x = 1,043.67

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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.