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Finding the Fourth Proportional to 635.49, 874.35 and 560.49

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Solution

The fourth proportional to 635.49, 874.35 and 560.49 is: 771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.49 : 874.35 = 560.49 : x
  2. Step 2: Convert to fraction form
    635.49/874.35 = 560.49/x
  3. Step 3: Cross multiply
    635.49x = 874.35 × 560.49
  4. Step 4: Simplify right side
    635.49x = 490,064.43
  5. Step 5: Solve for x
    x = 490,064.43/635.49
  6. Step 6: Final answer
    x = 771.16

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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.