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Finding the Fourth Proportional to 941.09, 1,409.70 and 647.60

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Solution

The fourth proportional to 941.09, 1,409.70 and 647.60 is: 970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.09 : 1,409.70 = 647.60 : x
  2. Step 2: Convert to fraction form
    941.09/1,409.70 = 647.60/x
  3. Step 3: Cross multiply
    941.09x = 1,409.70 × 647.60
  4. Step 4: Simplify right side
    941.09x = 912,921.72
  5. Step 5: Solve for x
    x = 912,921.72/941.09
  6. Step 6: Final answer
    x = 970.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.