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Finding the Fourth Proportional to 1,158.72, 1,599 and 634.74

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Solution

The fourth proportional to 1,158.72, 1,599 and 634.74 is: 875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.72 : 1,599 = 634.74 : x
  2. Step 2: Convert to fraction form
    1,158.72/1,599 = 634.74/x
  3. Step 3: Cross multiply
    1,158.72x = 1,599 × 634.74
  4. Step 4: Simplify right side
    1,158.72x = 1,014,949.26
  5. Step 5: Solve for x
    x = 1,014,949.26/1,158.72
  6. Step 6: Final answer
    x = 875.92

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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.