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Finding the Fourth Proportional to 1,358.24, 1,874.37 and 768.76

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Solution

The fourth proportional to 1,358.24, 1,874.37 and 768.76 is: 1,060.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.24 : 1,874.37 = 768.76 : x
  2. Step 2: Convert to fraction form
    1,358.24/1,874.37 = 768.76/x
  3. Step 3: Cross multiply
    1,358.24x = 1,874.37 × 768.76
  4. Step 4: Simplify right side
    1,358.24x = 1,440,938.88
  5. Step 5: Solve for x
    x = 1,440,938.88/1,358.24
  6. Step 6: Final answer
    x = 1,060.89

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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.