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Finding the Fourth Proportional to 1,263.46, 1,742.97 and 983.20

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Solution

The fourth proportional to 1,263.46, 1,742.97 and 983.20 is: 1,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.46 : 1,742.97 = 983.20 : x
  2. Step 2: Convert to fraction form
    1,263.46/1,742.97 = 983.20/x
  3. Step 3: Cross multiply
    1,263.46x = 1,742.97 × 983.20
  4. Step 4: Simplify right side
    1,263.46x = 1,713,688.10
  5. Step 5: Solve for x
    x = 1,713,688.10/1,263.46
  6. Step 6: Final answer
    x = 1,356.35

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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.