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Finding the Fourth Proportional to 1,066.16, 1,598.73 and 449.70

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Solution

The fourth proportional to 1,066.16, 1,598.73 and 449.70 is: 674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.16 : 1,598.73 = 449.70 : x
  2. Step 2: Convert to fraction form
    1,066.16/1,598.73 = 449.70/x
  3. Step 3: Cross multiply
    1,066.16x = 1,598.73 × 449.70
  4. Step 4: Simplify right side
    1,066.16x = 718,952.41
  5. Step 5: Solve for x
    x = 718,952.41/1,066.16
  6. Step 6: Final answer
    x = 674.34

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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.