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Finding the Fourth Proportional to 765.47, 1,142.34 and 683.46

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Solution

The fourth proportional to 765.47, 1,142.34 and 683.46 is: 1,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.47 : 1,142.34 = 683.46 : x
  2. Step 2: Convert to fraction form
    765.47/1,142.34 = 683.46/x
  3. Step 3: Cross multiply
    765.47x = 1,142.34 × 683.46
  4. Step 4: Simplify right side
    765.47x = 780,741.13
  5. Step 5: Solve for x
    x = 780,741.13/765.47
  6. Step 6: Final answer
    x = 1,019.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.