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Finding the Fourth Proportional to 1,089, 1,632.42 and 510.84

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Solution

The fourth proportional to 1,089, 1,632.42 and 510.84 is: 765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089 : 1,632.42 = 510.84 : x
  2. Step 2: Convert to fraction form
    1,089/1,632.42 = 510.84/x
  3. Step 3: Cross multiply
    1,089x = 1,632.42 × 510.84
  4. Step 4: Simplify right side
    1,089x = 833,905.43
  5. Step 5: Solve for x
    x = 833,905.43/1,089
  6. Step 6: Final answer
    x = 765.75

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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.