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Finding the Fourth Proportional to 1,444.01, 2,166.01 and 456.92

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Solution

The fourth proportional to 1,444.01, 2,166.01 and 456.92 is: 685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.01 : 2,166.01 = 456.92 : x
  2. Step 2: Convert to fraction form
    1,444.01/2,166.01 = 456.92/x
  3. Step 3: Cross multiply
    1,444.01x = 2,166.01 × 456.92
  4. Step 4: Simplify right side
    1,444.01x = 989,686.95
  5. Step 5: Solve for x
    x = 989,686.95/1,444.01
  6. Step 6: Final answer
    x = 685.38

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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.