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Finding the Fourth Proportional to 1,145.78, 1,714.56 and 992.24

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Solution

The fourth proportional to 1,145.78, 1,714.56 and 992.24 is: 1,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.78 : 1,714.56 = 992.24 : x
  2. Step 2: Convert to fraction form
    1,145.78/1,714.56 = 992.24/x
  3. Step 3: Cross multiply
    1,145.78x = 1,714.56 × 992.24
  4. Step 4: Simplify right side
    1,145.78x = 1,701,255.01
  5. Step 5: Solve for x
    x = 1,701,255.01/1,145.78
  6. Step 6: Final answer
    x = 1,484.80

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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.