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Finding the Fourth Proportional to 883.02, 1,218.06 and 572.52

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Solution

The fourth proportional to 883.02, 1,218.06 and 572.52 is: 789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.02 : 1,218.06 = 572.52 : x
  2. Step 2: Convert to fraction form
    883.02/1,218.06 = 572.52/x
  3. Step 3: Cross multiply
    883.02x = 1,218.06 × 572.52
  4. Step 4: Simplify right side
    883.02x = 697,363.71
  5. Step 5: Solve for x
    x = 697,363.71/883.02
  6. Step 6: Final answer
    x = 789.75

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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.