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Finding the Fourth Proportional to 1,130.46, 1,694.23 and 983.61

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Solution

The fourth proportional to 1,130.46, 1,694.23 and 983.61 is: 1,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.46 : 1,694.23 = 983.61 : x
  2. Step 2: Convert to fraction form
    1,130.46/1,694.23 = 983.61/x
  3. Step 3: Cross multiply
    1,130.46x = 1,694.23 × 983.61
  4. Step 4: Simplify right side
    1,130.46x = 1,666,461.57
  5. Step 5: Solve for x
    x = 1,666,461.57/1,130.46
  6. Step 6: Final answer
    x = 1,474.14

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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.