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Finding the Fourth Proportional to 761.22, 1,140.80 and 395.25

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Solution

The fourth proportional to 761.22, 1,140.80 and 395.25 is: 592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.22 : 1,140.80 = 395.25 : x
  2. Step 2: Convert to fraction form
    761.22/1,140.80 = 395.25/x
  3. Step 3: Cross multiply
    761.22x = 1,140.80 × 395.25
  4. Step 4: Simplify right side
    761.22x = 450,899.22
  5. Step 5: Solve for x
    x = 450,899.22/761.22
  6. Step 6: Final answer
    x = 592.34

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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.