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Finding the Fourth Proportional to 1,195.88, 1,650.51 and 882.77

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Solution

The fourth proportional to 1,195.88, 1,650.51 and 882.77 is: 1,218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.88 : 1,650.51 = 882.77 : x
  2. Step 2: Convert to fraction form
    1,195.88/1,650.51 = 882.77/x
  3. Step 3: Cross multiply
    1,195.88x = 1,650.51 × 882.77
  4. Step 4: Simplify right side
    1,195.88x = 1,457,012.46
  5. Step 5: Solve for x
    x = 1,457,012.46/1,195.88
  6. Step 6: Final answer
    x = 1,218.37

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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.