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Finding the Fourth Proportional to 1,420.06, 2,130.03 and 689.44

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Solution

The fourth proportional to 1,420.06, 2,130.03 and 689.44 is: 1,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.06 : 2,130.03 = 689.44 : x
  2. Step 2: Convert to fraction form
    1,420.06/2,130.03 = 689.44/x
  3. Step 3: Cross multiply
    1,420.06x = 2,130.03 × 689.44
  4. Step 4: Simplify right side
    1,420.06x = 1,468,525.14
  5. Step 5: Solve for x
    x = 1,468,525.14/1,420.06
  6. Step 6: Final answer
    x = 1,034.13

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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.