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Finding the Fourth Proportional to 761.14, 1,140.36 and 452.08

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Solution

The fourth proportional to 761.14, 1,140.36 and 452.08 is: 677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.14 : 1,140.36 = 452.08 : x
  2. Step 2: Convert to fraction form
    761.14/1,140.36 = 452.08/x
  3. Step 3: Cross multiply
    761.14x = 1,140.36 × 452.08
  4. Step 4: Simplify right side
    761.14x = 515,533.95
  5. Step 5: Solve for x
    x = 515,533.95/761.14
  6. Step 6: Final answer
    x = 677.32

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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.