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Finding the Fourth Proportional to 1,087.02, 1,627.65 and 624.17

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Solution

The fourth proportional to 1,087.02, 1,627.65 and 624.17 is: 934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.02 : 1,627.65 = 624.17 : x
  2. Step 2: Convert to fraction form
    1,087.02/1,627.65 = 624.17/x
  3. Step 3: Cross multiply
    1,087.02x = 1,627.65 × 624.17
  4. Step 4: Simplify right side
    1,087.02x = 1,015,930.30
  5. Step 5: Solve for x
    x = 1,015,930.30/1,087.02
  6. Step 6: Final answer
    x = 934.60

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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.