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Finding the Fourth Proportional to 1,460, 2,190.33 and 420.01

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Solution

The fourth proportional to 1,460, 2,190.33 and 420.01 is: 630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460 : 2,190.33 = 420.01 : x
  2. Step 2: Convert to fraction form
    1,460/2,190.33 = 420.01/x
  3. Step 3: Cross multiply
    1,460x = 2,190.33 × 420.01
  4. Step 4: Simplify right side
    1,460x = 919,960.50
  5. Step 5: Solve for x
    x = 919,960.50/1,460
  6. Step 6: Final answer
    x = 630.11

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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.