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Finding the Fourth Proportional to 761.77, 1,140.33 and 488.05

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Solution

The fourth proportional to 761.77, 1,140.33 and 488.05 is: 730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.77 : 1,140.33 = 488.05 : x
  2. Step 2: Convert to fraction form
    761.77/1,140.33 = 488.05/x
  3. Step 3: Cross multiply
    761.77x = 1,140.33 × 488.05
  4. Step 4: Simplify right side
    761.77x = 556,537.04
  5. Step 5: Solve for x
    x = 556,537.04/761.77
  6. Step 6: Final answer
    x = 730.59

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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.