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Finding the Fourth Proportional to 1,026.72, 1,417.32 and 694.98

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Solution

The fourth proportional to 1,026.72, 1,417.32 and 694.98 is: 959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.72 : 1,417.32 = 694.98 : x
  2. Step 2: Convert to fraction form
    1,026.72/1,417.32 = 694.98/x
  3. Step 3: Cross multiply
    1,026.72x = 1,417.32 × 694.98
  4. Step 4: Simplify right side
    1,026.72x = 985,009.05
  5. Step 5: Solve for x
    x = 985,009.05/1,026.72
  6. Step 6: Final answer
    x = 959.37

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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.