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Finding the Fourth Proportional to 989.02, 1,364.47 and 657.33

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Solution

The fourth proportional to 989.02, 1,364.47 and 657.33 is: 906.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.02 : 1,364.47 = 657.33 : x
  2. Step 2: Convert to fraction form
    989.02/1,364.47 = 657.33/x
  3. Step 3: Cross multiply
    989.02x = 1,364.47 × 657.33
  4. Step 4: Simplify right side
    989.02x = 896,907.07
  5. Step 5: Solve for x
    x = 896,907.07/989.02
  6. Step 6: Final answer
    x = 906.86

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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.