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Finding the Fourth Proportional to 1,016.12, 1,402.19 and 567.91

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Solution

The fourth proportional to 1,016.12, 1,402.19 and 567.91 is: 783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.12 : 1,402.19 = 567.91 : x
  2. Step 2: Convert to fraction form
    1,016.12/1,402.19 = 567.91/x
  3. Step 3: Cross multiply
    1,016.12x = 1,402.19 × 567.91
  4. Step 4: Simplify right side
    1,016.12x = 796,318.77
  5. Step 5: Solve for x
    x = 796,318.77/1,016.12
  6. Step 6: Final answer
    x = 783.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.