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Finding the Fourth Proportional to 1,130.40, 1,694.14 and 983.54

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Solution

The fourth proportional to 1,130.40, 1,694.14 and 983.54 is: 1,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.40 : 1,694.14 = 983.54 : x
  2. Step 2: Convert to fraction form
    1,130.40/1,694.14 = 983.54/x
  3. Step 3: Cross multiply
    1,130.40x = 1,694.14 × 983.54
  4. Step 4: Simplify right side
    1,130.40x = 1,666,254.46
  5. Step 5: Solve for x
    x = 1,666,254.46/1,130.40
  6. Step 6: Final answer
    x = 1,474.04

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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.