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Finding the Fourth Proportional to 975.94, 1,346.90 and 644.45

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Solution

The fourth proportional to 975.94, 1,346.90 and 644.45 is: 889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.94 : 1,346.90 = 644.45 : x
  2. Step 2: Convert to fraction form
    975.94/1,346.90 = 644.45/x
  3. Step 3: Cross multiply
    975.94x = 1,346.90 × 644.45
  4. Step 4: Simplify right side
    975.94x = 867,999.75
  5. Step 5: Solve for x
    x = 867,999.75/975.94
  6. Step 6: Final answer
    x = 889.40

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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.