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Finding the Fourth Proportional to 878.31, 1,315.92 and 782.99

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Solution

The fourth proportional to 878.31, 1,315.92 and 782.99 is: 1,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.31 : 1,315.92 = 782.99 : x
  2. Step 2: Convert to fraction form
    878.31/1,315.92 = 782.99/x
  3. Step 3: Cross multiply
    878.31x = 1,315.92 × 782.99
  4. Step 4: Simplify right side
    878.31x = 1,030,345.62
  5. Step 5: Solve for x
    x = 1,030,345.62/878.31
  6. Step 6: Final answer
    x = 1,173.10

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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.