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Finding the Fourth Proportional to 1,321.04, 1,981.14 and 541.04

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Solution

The fourth proportional to 1,321.04, 1,981.14 and 541.04 is: 811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.04 : 1,981.14 = 541.04 : x
  2. Step 2: Convert to fraction form
    1,321.04/1,981.14 = 541.04/x
  3. Step 3: Cross multiply
    1,321.04x = 1,981.14 × 541.04
  4. Step 4: Simplify right side
    1,321.04x = 1,071,875.99
  5. Step 5: Solve for x
    x = 1,071,875.99/1,321.04
  6. Step 6: Final answer
    x = 811.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.