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Finding the Fourth Proportional to 877.44, 1,210.98 and 729.82

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Solution

The fourth proportional to 877.44, 1,210.98 and 729.82 is: 1,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.44 : 1,210.98 = 729.82 : x
  2. Step 2: Convert to fraction form
    877.44/1,210.98 = 729.82/x
  3. Step 3: Cross multiply
    877.44x = 1,210.98 × 729.82
  4. Step 4: Simplify right side
    877.44x = 883,797.42
  5. Step 5: Solve for x
    x = 883,797.42/877.44
  6. Step 6: Final answer
    x = 1,007.25

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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.