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Finding the Fourth Proportional to 1,410.37, 1,946.68 and 821.00

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Solution

The fourth proportional to 1,410.37, 1,946.68 and 821.00 is: 1,133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.37 : 1,946.68 = 821.00 : x
  2. Step 2: Convert to fraction form
    1,410.37/1,946.68 = 821.00/x
  3. Step 3: Cross multiply
    1,410.37x = 1,946.68 × 821.00
  4. Step 4: Simplify right side
    1,410.37x = 1,598,227.09
  5. Step 5: Solve for x
    x = 1,598,227.09/1,410.37
  6. Step 6: Final answer
    x = 1,133.20

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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.