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Finding the Fourth Proportional to 759.65, 1,048.02 and 460.96

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Solution

The fourth proportional to 759.65, 1,048.02 and 460.96 is: 635.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.65 : 1,048.02 = 460.96 : x
  2. Step 2: Convert to fraction form
    759.65/1,048.02 = 460.96/x
  3. Step 3: Cross multiply
    759.65x = 1,048.02 × 460.96
  4. Step 4: Simplify right side
    759.65x = 483,095.30
  5. Step 5: Solve for x
    x = 483,095.30/759.65
  6. Step 6: Final answer
    x = 635.94

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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.