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Finding the Fourth Proportional to 1,006.57, 1,389.09 and 657.07

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Solution

The fourth proportional to 1,006.57, 1,389.09 and 657.07 is: 906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.57 : 1,389.09 = 657.07 : x
  2. Step 2: Convert to fraction form
    1,006.57/1,389.09 = 657.07/x
  3. Step 3: Cross multiply
    1,006.57x = 1,389.09 × 657.07
  4. Step 4: Simplify right side
    1,006.57x = 912,729.37
  5. Step 5: Solve for x
    x = 912,729.37/1,006.57
  6. Step 6: Final answer
    x = 906.77

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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.