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Finding the Fourth Proportional to 1,066.65, 1,599.84 and 450.05

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Solution

The fourth proportional to 1,066.65, 1,599.84 and 450.05 is: 675.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.65 : 1,599.84 = 450.05 : x
  2. Step 2: Convert to fraction form
    1,066.65/1,599.84 = 450.05/x
  3. Step 3: Cross multiply
    1,066.65x = 1,599.84 × 450.05
  4. Step 4: Simplify right side
    1,066.65x = 719,999.99
  5. Step 5: Solve for x
    x = 719,999.99/1,066.65
  6. Step 6: Final answer
    x = 675.01

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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.