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Finding the Fourth Proportional to 1,420.54, 2,130.86 and 496.19

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Solution

The fourth proportional to 1,420.54, 2,130.86 and 496.19 is: 744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.54 : 2,130.86 = 496.19 : x
  2. Step 2: Convert to fraction form
    1,420.54/2,130.86 = 496.19/x
  3. Step 3: Cross multiply
    1,420.54x = 2,130.86 × 496.19
  4. Step 4: Simplify right side
    1,420.54x = 1,057,317.99
  5. Step 5: Solve for x
    x = 1,057,317.99/1,420.54
  6. Step 6: Final answer
    x = 744.31

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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.