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Finding the Fourth Proportional to 929.50, 1,282.74 and 580

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Solution

The fourth proportional to 929.50, 1,282.74 and 580 is: 800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.50 : 1,282.74 = 580 : x
  2. Step 2: Convert to fraction form
    929.50/1,282.74 = 580/x
  3. Step 3: Cross multiply
    929.50x = 1,282.74 × 580
  4. Step 4: Simplify right side
    929.50x = 743,989.20
  5. Step 5: Solve for x
    x = 743,989.20/929.50
  6. Step 6: Final answer
    x = 800.42

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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.