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Finding the Fourth Proportional to 1,141.96, 1,713.58 and 655.40

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Solution

The fourth proportional to 1,141.96, 1,713.58 and 655.40 is: 983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.96 : 1,713.58 = 655.40 : x
  2. Step 2: Convert to fraction form
    1,141.96/1,713.58 = 655.40/x
  3. Step 3: Cross multiply
    1,141.96x = 1,713.58 × 655.40
  4. Step 4: Simplify right side
    1,141.96x = 1,123,080.33
  5. Step 5: Solve for x
    x = 1,123,080.33/1,141.96
  6. Step 6: Final answer
    x = 983.47

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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.