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Finding the Fourth Proportional to 782.66, 1,079.53 and 488.03

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Solution

The fourth proportional to 782.66, 1,079.53 and 488.03 is: 673.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.66 : 1,079.53 = 488.03 : x
  2. Step 2: Convert to fraction form
    782.66/1,079.53 = 488.03/x
  3. Step 3: Cross multiply
    782.66x = 1,079.53 × 488.03
  4. Step 4: Simplify right side
    782.66x = 526,836.41
  5. Step 5: Solve for x
    x = 526,836.41/782.66
  6. Step 6: Final answer
    x = 673.13

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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.