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Finding the Fourth Proportional to 821.96, 1,225.81 and 701

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Solution

The fourth proportional to 821.96, 1,225.81 and 701 is: 1,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.96 : 1,225.81 = 701 : x
  2. Step 2: Convert to fraction form
    821.96/1,225.81 = 701/x
  3. Step 3: Cross multiply
    821.96x = 1,225.81 × 701
  4. Step 4: Simplify right side
    821.96x = 859,292.81
  5. Step 5: Solve for x
    x = 859,292.81/821.96
  6. Step 6: Final answer
    x = 1,045.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.