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Finding the Fourth Proportional to 915.84, 1,266.03 and 784.62

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Solution

The fourth proportional to 915.84, 1,266.03 and 784.62 is: 1,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.84 : 1,266.03 = 784.62 : x
  2. Step 2: Convert to fraction form
    915.84/1,266.03 = 784.62/x
  3. Step 3: Cross multiply
    915.84x = 1,266.03 × 784.62
  4. Step 4: Simplify right side
    915.84x = 993,352.46
  5. Step 5: Solve for x
    x = 993,352.46/915.84
  6. Step 6: Final answer
    x = 1,084.64

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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.