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Finding the Fourth Proportional to 883.15, 1,218.57 and 567.92

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Solution

The fourth proportional to 883.15, 1,218.57 and 567.92 is: 783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.15 : 1,218.57 = 567.92 : x
  2. Step 2: Convert to fraction form
    883.15/1,218.57 = 567.92/x
  3. Step 3: Cross multiply
    883.15x = 1,218.57 × 567.92
  4. Step 4: Simplify right side
    883.15x = 692,050.27
  5. Step 5: Solve for x
    x = 692,050.27/883.15
  6. Step 6: Final answer
    x = 783.62

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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.