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Finding the Fourth Proportional to 1,066.40, 1,598.54 and 450.26

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Solution

The fourth proportional to 1,066.40, 1,598.54 and 450.26 is: 674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.40 : 1,598.54 = 450.26 : x
  2. Step 2: Convert to fraction form
    1,066.40/1,598.54 = 450.26/x
  3. Step 3: Cross multiply
    1,066.40x = 1,598.54 × 450.26
  4. Step 4: Simplify right side
    1,066.40x = 719,758.62
  5. Step 5: Solve for x
    x = 719,758.62/1,066.40
  6. Step 6: Final answer
    x = 674.94

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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.