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Finding the Fourth Proportional to 1,240.74, 1,712.07 and 821.16

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Solution

The fourth proportional to 1,240.74, 1,712.07 and 821.16 is: 1,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.74 : 1,712.07 = 821.16 : x
  2. Step 2: Convert to fraction form
    1,240.74/1,712.07 = 821.16/x
  3. Step 3: Cross multiply
    1,240.74x = 1,712.07 × 821.16
  4. Step 4: Simplify right side
    1,240.74x = 1,405,883.40
  5. Step 5: Solve for x
    x = 1,405,883.40/1,240.74
  6. Step 6: Final answer
    x = 1,133.10

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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.