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Finding the Fourth Proportional to 901.60, 1,352.97 and 491.00

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Solution

The fourth proportional to 901.60, 1,352.97 and 491.00 is: 736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.60 : 1,352.97 = 491.00 : x
  2. Step 2: Convert to fraction form
    901.60/1,352.97 = 491.00/x
  3. Step 3: Cross multiply
    901.60x = 1,352.97 × 491.00
  4. Step 4: Simplify right side
    901.60x = 664,301.51
  5. Step 5: Solve for x
    x = 664,301.51/901.60
  6. Step 6: Final answer
    x = 736.80

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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.