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Finding the Fourth Proportional to 1,134.58, 1,701.62 and 518.10

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Solution

The fourth proportional to 1,134.58, 1,701.62 and 518.10 is: 777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.58 : 1,701.62 = 518.10 : x
  2. Step 2: Convert to fraction form
    1,134.58/1,701.62 = 518.10/x
  3. Step 3: Cross multiply
    1,134.58x = 1,701.62 × 518.10
  4. Step 4: Simplify right side
    1,134.58x = 881,609.32
  5. Step 5: Solve for x
    x = 881,609.32/1,134.58
  6. Step 6: Final answer
    x = 777.04

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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.