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Finding the Fourth Proportional to 1,409.70, 1,944.69 and 912.77

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Solution

The fourth proportional to 1,409.70, 1,944.69 and 912.77 is: 1,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.70 : 1,944.69 = 912.77 : x
  2. Step 2: Convert to fraction form
    1,409.70/1,944.69 = 912.77/x
  3. Step 3: Cross multiply
    1,409.70x = 1,944.69 × 912.77
  4. Step 4: Simplify right side
    1,409.70x = 1,775,044.97
  5. Step 5: Solve for x
    x = 1,775,044.97/1,409.70
  6. Step 6: Final answer
    x = 1,259.17

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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.