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Finding the Fourth Proportional to 1,410.57, 1,946.46 and 821.14

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Solution

The fourth proportional to 1,410.57, 1,946.46 and 821.14 is: 1,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.57 : 1,946.46 = 821.14 : x
  2. Step 2: Convert to fraction form
    1,410.57/1,946.46 = 821.14/x
  3. Step 3: Cross multiply
    1,410.57x = 1,946.46 × 821.14
  4. Step 4: Simplify right side
    1,410.57x = 1,598,316.16
  5. Step 5: Solve for x
    x = 1,598,316.16/1,410.57
  6. Step 6: Final answer
    x = 1,133.10

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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.