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Finding the Fourth Proportional to 1,021.08, 1,530.44 and 404.66

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Solution

The fourth proportional to 1,021.08, 1,530.44 and 404.66 is: 606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.08 : 1,530.44 = 404.66 : x
  2. Step 2: Convert to fraction form
    1,021.08/1,530.44 = 404.66/x
  3. Step 3: Cross multiply
    1,021.08x = 1,530.44 × 404.66
  4. Step 4: Simplify right side
    1,021.08x = 619,307.85
  5. Step 5: Solve for x
    x = 619,307.85/1,021.08
  6. Step 6: Final answer
    x = 606.52

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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.