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Finding the Fourth Proportional to 1,423.01, 2,135.34 and 601.23

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Solution

The fourth proportional to 1,423.01, 2,135.34 and 601.23 is: 902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.01 : 2,135.34 = 601.23 : x
  2. Step 2: Convert to fraction form
    1,423.01/2,135.34 = 601.23/x
  3. Step 3: Cross multiply
    1,423.01x = 2,135.34 × 601.23
  4. Step 4: Simplify right side
    1,423.01x = 1,283,830.47
  5. Step 5: Solve for x
    x = 1,283,830.47/1,423.01
  6. Step 6: Final answer
    x = 902.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.