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Finding the Fourth Proportional to 1,045.16, 1,567.82 and 351.83

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Solution

The fourth proportional to 1,045.16, 1,567.82 and 351.83 is: 527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.16 : 1,567.82 = 351.83 : x
  2. Step 2: Convert to fraction form
    1,045.16/1,567.82 = 351.83/x
  3. Step 3: Cross multiply
    1,045.16x = 1,567.82 × 351.83
  4. Step 4: Simplify right side
    1,045.16x = 551,604.35
  5. Step 5: Solve for x
    x = 551,604.35/1,045.16
  6. Step 6: Final answer
    x = 527.77

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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.