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Finding the Fourth Proportional to 915.82, 1,376.70 and 735.19

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Solution

The fourth proportional to 915.82, 1,376.70 and 735.19 is: 1,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.82 : 1,376.70 = 735.19 : x
  2. Step 2: Convert to fraction form
    915.82/1,376.70 = 735.19/x
  3. Step 3: Cross multiply
    915.82x = 1,376.70 × 735.19
  4. Step 4: Simplify right side
    915.82x = 1,012,136.07
  5. Step 5: Solve for x
    x = 1,012,136.07/915.82
  6. Step 6: Final answer
    x = 1,105.17

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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.