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Finding the Fourth Proportional to 1,087.22, 1,630.58 and 307.31

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Solution

The fourth proportional to 1,087.22, 1,630.58 and 307.31 is: 460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.22 : 1,630.58 = 307.31 : x
  2. Step 2: Convert to fraction form
    1,087.22/1,630.58 = 307.31/x
  3. Step 3: Cross multiply
    1,087.22x = 1,630.58 × 307.31
  4. Step 4: Simplify right side
    1,087.22x = 501,094.75
  5. Step 5: Solve for x
    x = 501,094.75/1,087.22
  6. Step 6: Final answer
    x = 460.89

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