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Finding the Fourth Proportional to 915.85, 1,259.88 and 803.31

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Solution

The fourth proportional to 915.85, 1,259.88 and 803.31 is: 1,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.85 : 1,259.88 = 803.31 : x
  2. Step 2: Convert to fraction form
    915.85/1,259.88 = 803.31/x
  3. Step 3: Cross multiply
    915.85x = 1,259.88 × 803.31
  4. Step 4: Simplify right side
    915.85x = 1,012,074.20
  5. Step 5: Solve for x
    x = 1,012,074.20/915.85
  6. Step 6: Final answer
    x = 1,105.07

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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.