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Finding the Fourth Proportional to 1,027.10, 1,417.98 and 678.39

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Solution

The fourth proportional to 1,027.10, 1,417.98 and 678.39 is: 936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.10 : 1,417.98 = 678.39 : x
  2. Step 2: Convert to fraction form
    1,027.10/1,417.98 = 678.39/x
  3. Step 3: Cross multiply
    1,027.10x = 1,417.98 × 678.39
  4. Step 4: Simplify right side
    1,027.10x = 961,943.45
  5. Step 5: Solve for x
    x = 961,943.45/1,027.10
  6. Step 6: Final answer
    x = 936.57

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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.