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Finding the Fourth Proportional to 763.08, 1,052.34 and 482.84

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Solution

The fourth proportional to 763.08, 1,052.34 and 482.84 is: 665.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.08 : 1,052.34 = 482.84 : x
  2. Step 2: Convert to fraction form
    763.08/1,052.34 = 482.84/x
  3. Step 3: Cross multiply
    763.08x = 1,052.34 × 482.84
  4. Step 4: Simplify right side
    763.08x = 508,108.72
  5. Step 5: Solve for x
    x = 508,108.72/763.08
  6. Step 6: Final answer
    x = 665.87

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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.