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Finding the Fourth Proportional to 1,127.61, 1,689.84 and 509.81

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Solution

The fourth proportional to 1,127.61, 1,689.84 and 509.81 is: 764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.61 : 1,689.84 = 509.81 : x
  2. Step 2: Convert to fraction form
    1,127.61/1,689.84 = 509.81/x
  3. Step 3: Cross multiply
    1,127.61x = 1,689.84 × 509.81
  4. Step 4: Simplify right side
    1,127.61x = 861,488.88
  5. Step 5: Solve for x
    x = 861,488.88/1,127.61
  6. Step 6: Final answer
    x = 764.00

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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.