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Finding the Fourth Proportional to 1,062.11, 1,465.72 and 620.03

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Solution

The fourth proportional to 1,062.11, 1,465.72 and 620.03 is: 855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.11 : 1,465.72 = 620.03 : x
  2. Step 2: Convert to fraction form
    1,062.11/1,465.72 = 620.03/x
  3. Step 3: Cross multiply
    1,062.11x = 1,465.72 × 620.03
  4. Step 4: Simplify right side
    1,062.11x = 908,792.49
  5. Step 5: Solve for x
    x = 908,792.49/1,062.11
  6. Step 6: Final answer
    x = 855.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.