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Finding the Fourth Proportional to 1,145.60, 1,714.29 and 992.05

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Solution

The fourth proportional to 1,145.60, 1,714.29 and 992.05 is: 1,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.60 : 1,714.29 = 992.05 : x
  2. Step 2: Convert to fraction form
    1,145.60/1,714.29 = 992.05/x
  3. Step 3: Cross multiply
    1,145.60x = 1,714.29 × 992.05
  4. Step 4: Simplify right side
    1,145.60x = 1,700,661.39
  5. Step 5: Solve for x
    x = 1,700,661.39/1,145.60
  6. Step 6: Final answer
    x = 1,484.52

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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.