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Finding the Fourth Proportional to 761.00, 1,141.80 and 414.57

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Solution

The fourth proportional to 761.00, 1,141.80 and 414.57 is: 622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.00 : 1,141.80 = 414.57 : x
  2. Step 2: Convert to fraction form
    761.00/1,141.80 = 414.57/x
  3. Step 3: Cross multiply
    761.00x = 1,141.80 × 414.57
  4. Step 4: Simplify right side
    761.00x = 473,356.03
  5. Step 5: Solve for x
    x = 473,356.03/761.00
  6. Step 6: Final answer
    x = 622.02

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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.