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Finding the Fourth Proportional to 929.23, 1,282.30 and 555.99

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Solution

The fourth proportional to 929.23, 1,282.30 and 555.99 is: 767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.23 : 1,282.30 = 555.99 : x
  2. Step 2: Convert to fraction form
    929.23/1,282.30 = 555.99/x
  3. Step 3: Cross multiply
    929.23x = 1,282.30 × 555.99
  4. Step 4: Simplify right side
    929.23x = 712,945.98
  5. Step 5: Solve for x
    x = 712,945.98/929.23
  6. Step 6: Final answer
    x = 767.24

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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.