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Finding the Fourth Proportional to 883.10, 1,218.16 and 603.20

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Solution

The fourth proportional to 883.10, 1,218.16 and 603.20 is: 832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.10 : 1,218.16 = 603.20 : x
  2. Step 2: Convert to fraction form
    883.10/1,218.16 = 603.20/x
  3. Step 3: Cross multiply
    883.10x = 1,218.16 × 603.20
  4. Step 4: Simplify right side
    883.10x = 734,787.67
  5. Step 5: Solve for x
    x = 734,787.67/883.10
  6. Step 6: Final answer
    x = 832.05

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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.