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Finding the Fourth Proportional to 1,142.91, 1,714.18 and 526.49

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Solution

The fourth proportional to 1,142.91, 1,714.18 and 526.49 is: 789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.91 : 1,714.18 = 526.49 : x
  2. Step 2: Convert to fraction form
    1,142.91/1,714.18 = 526.49/x
  3. Step 3: Cross multiply
    1,142.91x = 1,714.18 × 526.49
  4. Step 4: Simplify right side
    1,142.91x = 902,491.52
  5. Step 5: Solve for x
    x = 902,491.52/1,142.91
  6. Step 6: Final answer
    x = 789.64

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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.