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Finding the Fourth Proportional to 1,006.60, 1,389.11 and 657.29

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Solution

The fourth proportional to 1,006.60, 1,389.11 and 657.29 is: 907.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.60 : 1,389.11 = 657.29 : x
  2. Step 2: Convert to fraction form
    1,006.60/1,389.11 = 657.29/x
  3. Step 3: Cross multiply
    1,006.60x = 1,389.11 × 657.29
  4. Step 4: Simplify right side
    1,006.60x = 913,037.88
  5. Step 5: Solve for x
    x = 913,037.88/1,006.60
  6. Step 6: Final answer
    x = 907.05

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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.