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Finding the Fourth Proportional to 915.16, 1,370.15 and 828.65

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Solution

The fourth proportional to 915.16, 1,370.15 and 828.65 is: 1,240.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.16 : 1,370.15 = 828.65 : x
  2. Step 2: Convert to fraction form
    915.16/1,370.15 = 828.65/x
  3. Step 3: Cross multiply
    915.16x = 1,370.15 × 828.65
  4. Step 4: Simplify right side
    915.16x = 1,135,374.08
  5. Step 5: Solve for x
    x = 1,135,374.08/915.16
  6. Step 6: Final answer
    x = 1,240.63

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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.