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Finding the Fourth Proportional to 1,294.18, 1,785.01 and 821.67

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Solution

The fourth proportional to 1,294.18, 1,785.01 and 821.67 is: 1,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.18 : 1,785.01 = 821.67 : x
  2. Step 2: Convert to fraction form
    1,294.18/1,785.01 = 821.67/x
  3. Step 3: Cross multiply
    1,294.18x = 1,785.01 × 821.67
  4. Step 4: Simplify right side
    1,294.18x = 1,466,686.98
  5. Step 5: Solve for x
    x = 1,466,686.98/1,294.18
  6. Step 6: Final answer
    x = 1,133.29

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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.