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Finding the Fourth Proportional to 1,101.95, 1,652.61 and 516.35

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Solution

The fourth proportional to 1,101.95, 1,652.61 and 516.35 is: 774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.95 : 1,652.61 = 516.35 : x
  2. Step 2: Convert to fraction form
    1,101.95/1,652.61 = 516.35/x
  3. Step 3: Cross multiply
    1,101.95x = 1,652.61 × 516.35
  4. Step 4: Simplify right side
    1,101.95x = 853,325.17
  5. Step 5: Solve for x
    x = 853,325.17/1,101.95
  6. Step 6: Final answer
    x = 774.38

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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.