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Finding the Fourth Proportional to 1,157.58, 1,733.97 and 643.50

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Solution

The fourth proportional to 1,157.58, 1,733.97 and 643.50 is: 963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.58 : 1,733.97 = 643.50 : x
  2. Step 2: Convert to fraction form
    1,157.58/1,733.97 = 643.50/x
  3. Step 3: Cross multiply
    1,157.58x = 1,733.97 × 643.50
  4. Step 4: Simplify right side
    1,157.58x = 1,115,809.70
  5. Step 5: Solve for x
    x = 1,115,809.70/1,157.58
  6. Step 6: Final answer
    x = 963.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.