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Finding the Fourth Proportional to 1,458.58, 2,188.86 and 636.38

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Solution

The fourth proportional to 1,458.58, 2,188.86 and 636.38 is: 955.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.58 : 2,188.86 = 636.38 : x
  2. Step 2: Convert to fraction form
    1,458.58/2,188.86 = 636.38/x
  3. Step 3: Cross multiply
    1,458.58x = 2,188.86 × 636.38
  4. Step 4: Simplify right side
    1,458.58x = 1,392,946.73
  5. Step 5: Solve for x
    x = 1,392,946.73/1,458.58
  6. Step 6: Final answer
    x = 955.00

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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.