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Finding the Fourth Proportional to 1,142.58, 1,712.81 and 526.78

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Solution

The fourth proportional to 1,142.58, 1,712.81 and 526.78 is: 789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.58 : 1,712.81 = 526.78 : x
  2. Step 2: Convert to fraction form
    1,142.58/1,712.81 = 526.78/x
  3. Step 3: Cross multiply
    1,142.58x = 1,712.81 × 526.78
  4. Step 4: Simplify right side
    1,142.58x = 902,274.05
  5. Step 5: Solve for x
    x = 902,274.05/1,142.58
  6. Step 6: Final answer
    x = 789.68

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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.