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Finding the Fourth Proportional to 1,141.43, 1,710.93 and 653.45

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Solution

The fourth proportional to 1,141.43, 1,710.93 and 653.45 is: 979.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.43 : 1,710.93 = 653.45 : x
  2. Step 2: Convert to fraction form
    1,141.43/1,710.93 = 653.45/x
  3. Step 3: Cross multiply
    1,141.43x = 1,710.93 × 653.45
  4. Step 4: Simplify right side
    1,141.43x = 1,118,007.21
  5. Step 5: Solve for x
    x = 1,118,007.21/1,141.43
  6. Step 6: Final answer
    x = 979.48

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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.