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Finding the Fourth Proportional to 1,020.84, 1,530.59 and 404.84

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Solution

The fourth proportional to 1,020.84, 1,530.59 and 404.84 is: 606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.84 : 1,530.59 = 404.84 : x
  2. Step 2: Convert to fraction form
    1,020.84/1,530.59 = 404.84/x
  3. Step 3: Cross multiply
    1,020.84x = 1,530.59 × 404.84
  4. Step 4: Simplify right side
    1,020.84x = 619,634.38
  5. Step 5: Solve for x
    x = 619,634.38/1,020.84
  6. Step 6: Final answer
    x = 606.98

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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.