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Finding the Fourth Proportional to 883.40, 1,218.84 and 603.14

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Solution

The fourth proportional to 883.40, 1,218.84 and 603.14 is: 832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.40 : 1,218.84 = 603.14 : x
  2. Step 2: Convert to fraction form
    883.40/1,218.84 = 603.14/x
  3. Step 3: Cross multiply
    883.40x = 1,218.84 × 603.14
  4. Step 4: Simplify right side
    883.40x = 735,131.16
  5. Step 5: Solve for x
    x = 735,131.16/883.40
  6. Step 6: Final answer
    x = 832.16

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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.