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Finding the Fourth Proportional to 901.02, 1,242.24 and 602.22

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Solution

The fourth proportional to 901.02, 1,242.24 and 602.22 is: 830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.02 : 1,242.24 = 602.22 : x
  2. Step 2: Convert to fraction form
    901.02/1,242.24 = 602.22/x
  3. Step 3: Cross multiply
    901.02x = 1,242.24 × 602.22
  4. Step 4: Simplify right side
    901.02x = 748,101.77
  5. Step 5: Solve for x
    x = 748,101.77/901.02
  6. Step 6: Final answer
    x = 830.28

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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.