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Finding the Fourth Proportional to 929.35, 1,282.48 and 525.54

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Solution

The fourth proportional to 929.35, 1,282.48 and 525.54 is: 725.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.35 : 1,282.48 = 525.54 : x
  2. Step 2: Convert to fraction form
    929.35/1,282.48 = 525.54/x
  3. Step 3: Cross multiply
    929.35x = 1,282.48 × 525.54
  4. Step 4: Simplify right side
    929.35x = 673,985.50
  5. Step 5: Solve for x
    x = 673,985.50/929.35
  6. Step 6: Final answer
    x = 725.23

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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.