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Finding the Fourth Proportional to 1,410.40, 1,946.54 and 851.19

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Solution

The fourth proportional to 1,410.40, 1,946.54 and 851.19 is: 1,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.40 : 1,946.54 = 851.19 : x
  2. Step 2: Convert to fraction form
    1,410.40/1,946.54 = 851.19/x
  3. Step 3: Cross multiply
    1,410.40x = 1,946.54 × 851.19
  4. Step 4: Simplify right side
    1,410.40x = 1,656,873.29
  5. Step 5: Solve for x
    x = 1,656,873.29/1,410.40
  6. Step 6: Final answer
    x = 1,174.75

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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.