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Finding the Fourth Proportional to 770.76, 1,063.26 and 538.02

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Solution

The fourth proportional to 770.76, 1,063.26 and 538.02 is: 742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.76 : 1,063.26 = 538.02 : x
  2. Step 2: Convert to fraction form
    770.76/1,063.26 = 538.02/x
  3. Step 3: Cross multiply
    770.76x = 1,063.26 × 538.02
  4. Step 4: Simplify right side
    770.76x = 572,055.15
  5. Step 5: Solve for x
    x = 572,055.15/770.76
  6. Step 6: Final answer
    x = 742.20

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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.