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Finding the Fourth Proportional to 1,140.69, 1,711.74 and 410.34

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Solution

The fourth proportional to 1,140.69, 1,711.74 and 410.34 is: 615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.69 : 1,711.74 = 410.34 : x
  2. Step 2: Convert to fraction form
    1,140.69/1,711.74 = 410.34/x
  3. Step 3: Cross multiply
    1,140.69x = 1,711.74 × 410.34
  4. Step 4: Simplify right side
    1,140.69x = 702,395.39
  5. Step 5: Solve for x
    x = 702,395.39/1,140.69
  6. Step 6: Final answer
    x = 615.76

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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.