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Finding the Fourth Proportional to 763.22, 1,052.90 and 536.12

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Solution

The fourth proportional to 763.22, 1,052.90 and 536.12 is: 739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.22 : 1,052.90 = 536.12 : x
  2. Step 2: Convert to fraction form
    763.22/1,052.90 = 536.12/x
  3. Step 3: Cross multiply
    763.22x = 1,052.90 × 536.12
  4. Step 4: Simplify right side
    763.22x = 564,478.76
  5. Step 5: Solve for x
    x = 564,478.76/763.22
  6. Step 6: Final answer
    x = 739.60

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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.