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Finding the Fourth Proportional to 1,066.58, 1,600.08 and 450.29

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Solution

The fourth proportional to 1,066.58, 1,600.08 and 450.29 is: 675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.58 : 1,600.08 = 450.29 : x
  2. Step 2: Convert to fraction form
    1,066.58/1,600.08 = 450.29/x
  3. Step 3: Cross multiply
    1,066.58x = 1,600.08 × 450.29
  4. Step 4: Simplify right side
    1,066.58x = 720,492.02
  5. Step 5: Solve for x
    x = 720,492.02/1,066.58
  6. Step 6: Final answer
    x = 675.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.