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Finding the Fourth Proportional to 1,101.58, 1,520.49 and 635.74

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Solution

The fourth proportional to 1,101.58, 1,520.49 and 635.74 is: 877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.58 : 1,520.49 = 635.74 : x
  2. Step 2: Convert to fraction form
    1,101.58/1,520.49 = 635.74/x
  3. Step 3: Cross multiply
    1,101.58x = 1,520.49 × 635.74
  4. Step 4: Simplify right side
    1,101.58x = 966,636.31
  5. Step 5: Solve for x
    x = 966,636.31/1,101.58
  6. Step 6: Final answer
    x = 877.50

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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.