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Finding the Fourth Proportional to 941.39, 1,409.64 and 649.79

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Solution

The fourth proportional to 941.39, 1,409.64 and 649.79 is: 973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.39 : 1,409.64 = 649.79 : x
  2. Step 2: Convert to fraction form
    941.39/1,409.64 = 649.79/x
  3. Step 3: Cross multiply
    941.39x = 1,409.64 × 649.79
  4. Step 4: Simplify right side
    941.39x = 915,969.98
  5. Step 5: Solve for x
    x = 915,969.98/941.39
  6. Step 6: Final answer
    x = 973.00

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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.