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Finding the Fourth Proportional to 1,140.95, 1,711.67 and 410.54

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Solution

The fourth proportional to 1,140.95, 1,711.67 and 410.54 is: 615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.95 : 1,711.67 = 410.54 : x
  2. Step 2: Convert to fraction form
    1,140.95/1,711.67 = 410.54/x
  3. Step 3: Cross multiply
    1,140.95x = 1,711.67 × 410.54
  4. Step 4: Simplify right side
    1,140.95x = 702,698.39
  5. Step 5: Solve for x
    x = 702,698.39/1,140.95
  6. Step 6: Final answer
    x = 615.89

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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.