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Finding the Fourth Proportional to 761.03, 1,140.94 and 460.26

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Solution

The fourth proportional to 761.03, 1,140.94 and 460.26 is: 690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.03 : 1,140.94 = 460.26 : x
  2. Step 2: Convert to fraction form
    761.03/1,140.94 = 460.26/x
  3. Step 3: Cross multiply
    761.03x = 1,140.94 × 460.26
  4. Step 4: Simplify right side
    761.03x = 525,126.73
  5. Step 5: Solve for x
    x = 525,126.73/761.03
  6. Step 6: Final answer
    x = 690.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.