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Finding the Fourth Proportional to 1,087.36, 1,630.80 and 510.64

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Solution

The fourth proportional to 1,087.36, 1,630.80 and 510.64 is: 765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.36 : 1,630.80 = 510.64 : x
  2. Step 2: Convert to fraction form
    1,087.36/1,630.80 = 510.64/x
  3. Step 3: Cross multiply
    1,087.36x = 1,630.80 × 510.64
  4. Step 4: Simplify right side
    1,087.36x = 832,751.71
  5. Step 5: Solve for x
    x = 832,751.71/1,087.36
  6. Step 6: Final answer
    x = 765.85

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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.