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Finding the Fourth Proportional to 1,147.05, 1,582.87 and 649.69

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Solution

The fourth proportional to 1,147.05, 1,582.87 and 649.69 is: 896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.05 : 1,582.87 = 649.69 : x
  2. Step 2: Convert to fraction form
    1,147.05/1,582.87 = 649.69/x
  3. Step 3: Cross multiply
    1,147.05x = 1,582.87 × 649.69
  4. Step 4: Simplify right side
    1,147.05x = 1,028,371.56
  5. Step 5: Solve for x
    x = 1,028,371.56/1,147.05
  6. Step 6: Final answer
    x = 896.54

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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.