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Finding the Fourth Proportional to 1,034.69, 1,551.49 and 384.89

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Solution

The fourth proportional to 1,034.69, 1,551.49 and 384.89 is: 577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.69 : 1,551.49 = 384.89 : x
  2. Step 2: Convert to fraction form
    1,034.69/1,551.49 = 384.89/x
  3. Step 3: Cross multiply
    1,034.69x = 1,551.49 × 384.89
  4. Step 4: Simplify right side
    1,034.69x = 597,144.27
  5. Step 5: Solve for x
    x = 597,144.27/1,034.69
  6. Step 6: Final answer
    x = 577.13

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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.