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Finding the Fourth Proportional to 1,476.12, 2,037.12 and 846.75

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Solution

The fourth proportional to 1,476.12, 2,037.12 and 846.75 is: 1,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.12 : 2,037.12 = 846.75 : x
  2. Step 2: Convert to fraction form
    1,476.12/2,037.12 = 846.75/x
  3. Step 3: Cross multiply
    1,476.12x = 2,037.12 × 846.75
  4. Step 4: Simplify right side
    1,476.12x = 1,724,931.36
  5. Step 5: Solve for x
    x = 1,724,931.36/1,476.12
  6. Step 6: Final answer
    x = 1,168.56

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Half 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.