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Finding the Fourth Proportional to 1,236.32, 1,707.58 and 985.10

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Solution

The fourth proportional to 1,236.32, 1,707.58 and 985.10 is: 1,360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.32 : 1,707.58 = 985.10 : x
  2. Step 2: Convert to fraction form
    1,236.32/1,707.58 = 985.10/x
  3. Step 3: Cross multiply
    1,236.32x = 1,707.58 × 985.10
  4. Step 4: Simplify right side
    1,236.32x = 1,682,137.06
  5. Step 5: Solve for x
    x = 1,682,137.06/1,236.32
  6. Step 6: Final answer
    x = 1,360.60

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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.