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Finding the Fourth Proportional to 1,245.86, 1,719.25 and 686.32

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Solution

The fourth proportional to 1,245.86, 1,719.25 and 686.32 is: 947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.86 : 1,719.25 = 686.32 : x
  2. Step 2: Convert to fraction form
    1,245.86/1,719.25 = 686.32/x
  3. Step 3: Cross multiply
    1,245.86x = 1,719.25 × 686.32
  4. Step 4: Simplify right side
    1,245.86x = 1,179,949.65
  5. Step 5: Solve for x
    x = 1,179,949.65/1,245.86
  6. Step 6: Final answer
    x = 947.10

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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.