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Finding the Fourth Proportional to 1,317.96, 1,818.90 and 787.32

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Solution

The fourth proportional to 1,317.96, 1,818.90 and 787.32 is: 1,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.96 : 1,818.90 = 787.32 : x
  2. Step 2: Convert to fraction form
    1,317.96/1,818.90 = 787.32/x
  3. Step 3: Cross multiply
    1,317.96x = 1,818.90 × 787.32
  4. Step 4: Simplify right side
    1,317.96x = 1,432,056.35
  5. Step 5: Solve for x
    x = 1,432,056.35/1,317.96
  6. Step 6: Final answer
    x = 1,086.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.