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Finding the Fourth Proportional to 901.38, 1,242.81 and 761.25

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Solution

The fourth proportional to 901.38, 1,242.81 and 761.25 is: 1,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.38 : 1,242.81 = 761.25 : x
  2. Step 2: Convert to fraction form
    901.38/1,242.81 = 761.25/x
  3. Step 3: Cross multiply
    901.38x = 1,242.81 × 761.25
  4. Step 4: Simplify right side
    901.38x = 946,089.11
  5. Step 5: Solve for x
    x = 946,089.11/901.38
  6. Step 6: Final answer
    x = 1,049.60

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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.