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Finding the Fourth Proportional to 1,087.89, 1,632.03 and 510.75

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Solution

The fourth proportional to 1,087.89, 1,632.03 and 510.75 is: 766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.89 : 1,632.03 = 510.75 : x
  2. Step 2: Convert to fraction form
    1,087.89/1,632.03 = 510.75/x
  3. Step 3: Cross multiply
    1,087.89x = 1,632.03 × 510.75
  4. Step 4: Simplify right side
    1,087.89x = 833,559.32
  5. Step 5: Solve for x
    x = 833,559.32/1,087.89
  6. Step 6: Final answer
    x = 766.22

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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.