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Finding the Fourth Proportional to 1,089.32, 1,632.54 and 511.40

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Solution

The fourth proportional to 1,089.32, 1,632.54 and 511.40 is: 766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.32 : 1,632.54 = 511.40 : x
  2. Step 2: Convert to fraction form
    1,089.32/1,632.54 = 511.40/x
  3. Step 3: Cross multiply
    1,089.32x = 1,632.54 × 511.40
  4. Step 4: Simplify right side
    1,089.32x = 834,880.96
  5. Step 5: Solve for x
    x = 834,880.96/1,089.32
  6. Step 6: Final answer
    x = 766.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.