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Finding the Fourth Proportional to 1,007.98, 1,390.44 and 821.68

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Solution

The fourth proportional to 1,007.98, 1,390.44 and 821.68 is: 1,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.98 : 1,390.44 = 821.68 : x
  2. Step 2: Convert to fraction form
    1,007.98/1,390.44 = 821.68/x
  3. Step 3: Cross multiply
    1,007.98x = 1,390.44 × 821.68
  4. Step 4: Simplify right side
    1,007.98x = 1,142,496.74
  5. Step 5: Solve for x
    x = 1,142,496.74/1,007.98
  6. Step 6: Final answer
    x = 1,133.45

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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.