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Finding the Fourth Proportional to 1,367.75, 1,887.50 and 746.75

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Solution

The fourth proportional to 1,367.75, 1,887.50 and 746.75 is: 1,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.75 : 1,887.50 = 746.75 : x
  2. Step 2: Convert to fraction form
    1,367.75/1,887.50 = 746.75/x
  3. Step 3: Cross multiply
    1,367.75x = 1,887.50 × 746.75
  4. Step 4: Simplify right side
    1,367.75x = 1,409,490.63
  5. Step 5: Solve for x
    x = 1,409,490.63/1,367.75
  6. Step 6: Final answer
    x = 1,030.52

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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.