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Finding the Fourth Proportional to 759.86, 1,049.00 and 512.48

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Solution

The fourth proportional to 759.86, 1,049.00 and 512.48 is: 707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.86 : 1,049.00 = 512.48 : x
  2. Step 2: Convert to fraction form
    759.86/1,049.00 = 512.48/x
  3. Step 3: Cross multiply
    759.86x = 1,049.00 × 512.48
  4. Step 4: Simplify right side
    759.86x = 537,583.71
  5. Step 5: Solve for x
    x = 537,583.71/759.86
  6. Step 6: Final answer
    x = 707.48

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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.