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Finding the Fourth Proportional to 1,208.76, 1,668.10 and 656.76

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Solution

The fourth proportional to 1,208.76, 1,668.10 and 656.76 is: 906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.76 : 1,668.10 = 656.76 : x
  2. Step 2: Convert to fraction form
    1,208.76/1,668.10 = 656.76/x
  3. Step 3: Cross multiply
    1,208.76x = 1,668.10 × 656.76
  4. Step 4: Simplify right side
    1,208.76x = 1,095,541.36
  5. Step 5: Solve for x
    x = 1,095,541.36/1,208.76
  6. Step 6: Final answer
    x = 906.33

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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.