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Finding the Fourth Proportional to 635.19, 875.85 and 597.53

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Solution

The fourth proportional to 635.19, 875.85 and 597.53 is: 823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.19 : 875.85 = 597.53 : x
  2. Step 2: Convert to fraction form
    635.19/875.85 = 597.53/x
  3. Step 3: Cross multiply
    635.19x = 875.85 × 597.53
  4. Step 4: Simplify right side
    635.19x = 523,342.27
  5. Step 5: Solve for x
    x = 523,342.27/635.19
  6. Step 6: Final answer
    x = 823.91

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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.