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Finding the Fourth Proportional to 1,062.45, 1,585.15 and 906.59

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Solution

The fourth proportional to 1,062.45, 1,585.15 and 906.59 is: 1,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.45 : 1,585.15 = 906.59 : x
  2. Step 2: Convert to fraction form
    1,062.45/1,585.15 = 906.59/x
  3. Step 3: Cross multiply
    1,062.45x = 1,585.15 × 906.59
  4. Step 4: Simplify right side
    1,062.45x = 1,437,081.14
  5. Step 5: Solve for x
    x = 1,437,081.14/1,062.45
  6. Step 6: Final answer
    x = 1,352.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.