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Finding the Fourth Proportional to 915.22, 1,366.51 and 785.01

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Solution

The fourth proportional to 915.22, 1,366.51 and 785.01 is: 1,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.22 : 1,366.51 = 785.01 : x
  2. Step 2: Convert to fraction form
    915.22/1,366.51 = 785.01/x
  3. Step 3: Cross multiply
    915.22x = 1,366.51 × 785.01
  4. Step 4: Simplify right side
    915.22x = 1,072,724.02
  5. Step 5: Solve for x
    x = 1,072,724.02/915.22
  6. Step 6: Final answer
    x = 1,172.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.