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Finding the Fourth Proportional to 1,027.26, 1,417.86 and 607.68

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Solution

The fourth proportional to 1,027.26, 1,417.86 and 607.68 is: 838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.26 : 1,417.86 = 607.68 : x
  2. Step 2: Convert to fraction form
    1,027.26/1,417.86 = 607.68/x
  3. Step 3: Cross multiply
    1,027.26x = 1,417.86 × 607.68
  4. Step 4: Simplify right side
    1,027.26x = 861,605.16
  5. Step 5: Solve for x
    x = 861,605.16/1,027.26
  6. Step 6: Final answer
    x = 838.74

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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.