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Finding the Fourth Proportional to 763.44, 1,054.02 and 514.80

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Solution

The fourth proportional to 763.44, 1,054.02 and 514.80 is: 710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.44 : 1,054.02 = 514.80 : x
  2. Step 2: Convert to fraction form
    763.44/1,054.02 = 514.80/x
  3. Step 3: Cross multiply
    763.44x = 1,054.02 × 514.80
  4. Step 4: Simplify right side
    763.44x = 542,609.50
  5. Step 5: Solve for x
    x = 542,609.50/763.44
  6. Step 6: Final answer
    x = 710.74

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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.