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Finding the Fourth Proportional to 1,139.53, 1,709.31 and 409.63

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Solution

The fourth proportional to 1,139.53, 1,709.31 and 409.63 is: 614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.53 : 1,709.31 = 409.63 : x
  2. Step 2: Convert to fraction form
    1,139.53/1,709.31 = 409.63/x
  3. Step 3: Cross multiply
    1,139.53x = 1,709.31 × 409.63
  4. Step 4: Simplify right side
    1,139.53x = 700,184.66
  5. Step 5: Solve for x
    x = 700,184.66/1,139.53
  6. Step 6: Final answer
    x = 614.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.