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Finding the Fourth Proportional to 1,006.32, 1,389.24 and 695.28

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Solution

The fourth proportional to 1,006.32, 1,389.24 and 695.28 is: 959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.32 : 1,389.24 = 695.28 : x
  2. Step 2: Convert to fraction form
    1,006.32/1,389.24 = 695.28/x
  3. Step 3: Cross multiply
    1,006.32x = 1,389.24 × 695.28
  4. Step 4: Simplify right side
    1,006.32x = 965,910.79
  5. Step 5: Solve for x
    x = 965,910.79/1,006.32
  6. Step 6: Final answer
    x = 959.84

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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.