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Finding the Fourth Proportional to 816.36, 1,126.76 and 567.42

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Solution

The fourth proportional to 816.36, 1,126.76 and 567.42 is: 783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.36 : 1,126.76 = 567.42 : x
  2. Step 2: Convert to fraction form
    816.36/1,126.76 = 567.42/x
  3. Step 3: Cross multiply
    816.36x = 1,126.76 × 567.42
  4. Step 4: Simplify right side
    816.36x = 639,343.32
  5. Step 5: Solve for x
    x = 639,343.32/816.36
  6. Step 6: Final answer
    x = 783.16

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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.