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Finding the Fourth Proportional to 901.63, 1,243.94 and 735.55

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Solution

The fourth proportional to 901.63, 1,243.94 and 735.55 is: 1,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.63 : 1,243.94 = 735.55 : x
  2. Step 2: Convert to fraction form
    901.63/1,243.94 = 735.55/x
  3. Step 3: Cross multiply
    901.63x = 1,243.94 × 735.55
  4. Step 4: Simplify right side
    901.63x = 914,980.07
  5. Step 5: Solve for x
    x = 914,980.07/901.63
  6. Step 6: Final answer
    x = 1,014.81

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1.5x scale

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.