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Finding the Fourth Proportional to 765.23, 1,148.58 and 723.60

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Solution

The fourth proportional to 765.23, 1,148.58 and 723.60 is: 1,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.23 : 1,148.58 = 723.60 : x
  2. Step 2: Convert to fraction form
    765.23/1,148.58 = 723.60/x
  3. Step 3: Cross multiply
    765.23x = 1,148.58 × 723.60
  4. Step 4: Simplify right side
    765.23x = 831,112.49
  5. Step 5: Solve for x
    x = 831,112.49/765.23
  6. Step 6: Final answer
    x = 1,086.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.