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Finding the Fourth Proportional to 1,127.00, 1,689.35 and 541.14

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Solution

The fourth proportional to 1,127.00, 1,689.35 and 541.14 is: 811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.00 : 1,689.35 = 541.14 : x
  2. Step 2: Convert to fraction form
    1,127.00/1,689.35 = 541.14/x
  3. Step 3: Cross multiply
    1,127.00x = 1,689.35 × 541.14
  4. Step 4: Simplify right side
    1,127.00x = 914,176.21
  5. Step 5: Solve for x
    x = 914,176.21/1,127.00
  6. Step 6: Final answer
    x = 811.16

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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.