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Finding the Fourth Proportional to 816.94, 1,126.53 and 630.46

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Solution

The fourth proportional to 816.94, 1,126.53 and 630.46 is: 869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.94 : 1,126.53 = 630.46 : x
  2. Step 2: Convert to fraction form
    816.94/1,126.53 = 630.46/x
  3. Step 3: Cross multiply
    816.94x = 1,126.53 × 630.46
  4. Step 4: Simplify right side
    816.94x = 710,232.10
  5. Step 5: Solve for x
    x = 710,232.10/816.94
  6. Step 6: Final answer
    x = 869.38

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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.