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Finding the Fourth Proportional to 1,087.94, 1,630.68 and 470.72

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Solution

The fourth proportional to 1,087.94, 1,630.68 and 470.72 is: 705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.94 : 1,630.68 = 470.72 : x
  2. Step 2: Convert to fraction form
    1,087.94/1,630.68 = 470.72/x
  3. Step 3: Cross multiply
    1,087.94x = 1,630.68 × 470.72
  4. Step 4: Simplify right side
    1,087.94x = 767,585.54
  5. Step 5: Solve for x
    x = 767,585.54/1,087.94
  6. Step 6: Final answer
    x = 705.54

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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.