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Finding the Fourth Proportional to 1,142.72, 1,714.56 and 526.48

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Solution

The fourth proportional to 1,142.72, 1,714.56 and 526.48 is: 789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.72 : 1,714.56 = 526.48 : x
  2. Step 2: Convert to fraction form
    1,142.72/1,714.56 = 526.48/x
  3. Step 3: Cross multiply
    1,142.72x = 1,714.56 × 526.48
  4. Step 4: Simplify right side
    1,142.72x = 902,681.55
  5. Step 5: Solve for x
    x = 902,681.55/1,142.72
  6. Step 6: Final answer
    x = 789.94

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