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Finding the Fourth Proportional to 1,260.56, 1,740.12 and 981.56

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Solution

The fourth proportional to 1,260.56, 1,740.12 and 981.56 is: 1,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.56 : 1,740.12 = 981.56 : x
  2. Step 2: Convert to fraction form
    1,260.56/1,740.12 = 981.56/x
  3. Step 3: Cross multiply
    1,260.56x = 1,740.12 × 981.56
  4. Step 4: Simplify right side
    1,260.56x = 1,708,032.19
  5. Step 5: Solve for x
    x = 1,708,032.19/1,260.56
  6. Step 6: Final answer
    x = 1,354.98

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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.