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Finding the Fourth Proportional to 883.36, 1,218.54 and 568.36

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Solution

The fourth proportional to 883.36, 1,218.54 and 568.36 is: 784.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.36 : 1,218.54 = 568.36 : x
  2. Step 2: Convert to fraction form
    883.36/1,218.54 = 568.36/x
  3. Step 3: Cross multiply
    883.36x = 1,218.54 × 568.36
  4. Step 4: Simplify right side
    883.36x = 692,569.39
  5. Step 5: Solve for x
    x = 692,569.39/883.36
  6. Step 6: Final answer
    x = 784.02

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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.