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Finding the Fourth Proportional to 1,044.14, 1,566.23 and 350.82

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Solution

The fourth proportional to 1,044.14, 1,566.23 and 350.82 is: 526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.14 : 1,566.23 = 350.82 : x
  2. Step 2: Convert to fraction form
    1,044.14/1,566.23 = 350.82/x
  3. Step 3: Cross multiply
    1,044.14x = 1,566.23 × 350.82
  4. Step 4: Simplify right side
    1,044.14x = 549,464.81
  5. Step 5: Solve for x
    x = 549,464.81/1,044.14
  6. Step 6: Final answer
    x = 526.24

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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.