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Finding the Fourth Proportional to 759.54, 1,048.30 and 479.90

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Solution

The fourth proportional to 759.54, 1,048.30 and 479.90 is: 662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.54 : 1,048.30 = 479.90 : x
  2. Step 2: Convert to fraction form
    759.54/1,048.30 = 479.90/x
  3. Step 3: Cross multiply
    759.54x = 1,048.30 × 479.90
  4. Step 4: Simplify right side
    759.54x = 503,079.17
  5. Step 5: Solve for x
    x = 503,079.17/759.54
  6. Step 6: Final answer
    x = 662.35

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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.