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Finding the Fourth Proportional to 1,087.75, 1,630.69 and 924.29

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Solution

The fourth proportional to 1,087.75, 1,630.69 and 924.29 is: 1,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.75 : 1,630.69 = 924.29 : x
  2. Step 2: Convert to fraction form
    1,087.75/1,630.69 = 924.29/x
  3. Step 3: Cross multiply
    1,087.75x = 1,630.69 × 924.29
  4. Step 4: Simplify right side
    1,087.75x = 1,507,230.46
  5. Step 5: Solve for x
    x = 1,507,230.46/1,087.75
  6. Step 6: Final answer
    x = 1,385.64

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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.