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Finding the Fourth Proportional to 710.72, 980.04 and 584.24

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Solution

The fourth proportional to 710.72, 980.04 and 584.24 is: 805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.72 : 980.04 = 584.24 : x
  2. Step 2: Convert to fraction form
    710.72/980.04 = 584.24/x
  3. Step 3: Cross multiply
    710.72x = 980.04 × 584.24
  4. Step 4: Simplify right side
    710.72x = 572,578.57
  5. Step 5: Solve for x
    x = 572,578.57/710.72
  6. Step 6: Final answer
    x = 805.63

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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.