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Finding the Fourth Proportional to 759.86, 1,048.72 and 461.15

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Solution

The fourth proportional to 759.86, 1,048.72 and 461.15 is: 636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.86 : 1,048.72 = 461.15 : x
  2. Step 2: Convert to fraction form
    759.86/1,048.72 = 461.15/x
  3. Step 3: Cross multiply
    759.86x = 1,048.72 × 461.15
  4. Step 4: Simplify right side
    759.86x = 483,617.23
  5. Step 5: Solve for x
    x = 483,617.23/759.86
  6. Step 6: Final answer
    x = 636.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.